A bank loaned out $20,000, part of it at the rate of 9% per year and the rest at 17% per
year. If the interest received in one year totaled $3000, how much was loaned at 9%?
How much of the $20,000 did the bank loan out at 9%?

Answers

Answer 1

Answer:

The bank loan out at $5000 at 9%

Step-by-step explanation:

A bank loaned out $20,000

Let x be the amount loaned at at the rate of 9% per year

So, 20000-x amount loaned at at the rate of 17% per year

Formula : [tex]A =P(1+r)^t[/tex]

Amount at 9% interest in 1 year

[tex]A=x(1+0.09)^1[/tex]

A=1.09x

Interest = Amount - Principal = 1.09x-x=0.09x

Amount at 17% interest in 1 year

[tex]A=(20000-x)(1+0.17)^1[/tex]

A=1.17(20000-x)

Interest = Amount - Principal = 1.17(20000-x)-(20000-x)

We are given that the interest received in one year totaled $3000

So,1.17(20000-x)-(20000-x)+0.09x=3000

x=5000

So, the bank loan out at $5000 at 9%


Related Questions

Which best compares the volumes of cylinder X and cylinder Y?
A. The volume of cylinder X is less than the volume of cylinder Y.
B. The volume of cylinder X is equivalent to the volume of cylinder Y.
C. The volume of cylinder X is greater than the volume of cylinder Y.
D. There is not enough information to compare the volumes.

Answers

Considering the equation for the volume of a cylinder, it is found that the correct statement is:

A. The volume of cylinder X is less than the volume of cylinder Y.

What is the volume of a cylinder?


The volume of a cylinder of radius r and height h is given by:

[tex]V = \pi r^2h[/tex]

In this problem, cylinder Y suffered an inclination, hence it's radius increased, having a higher volume than cylinder A, as they have the same height, hence option A is correct.

More can be learned about the volume of a cylinder at https://brainly.com/question/9408912

Answer:

It is answer B

Step-by-step explanation:

this is because of law of Cavalieri which states that if a shape has the same radius(or length and base) and same height, it has the same volume.

Will mark brainliest!
Please help!

Answers

Answer:

1.

30/100×450

0.3×450

135

450-135=315

So the sale price of a shirt is Nu.315

2.

30/100×450

0.3×450

135

450+135=585

So the selling price of the shirt is Nu.585

Answer:

Q1:315

Q2:585

Step-by-step explanation:

450 -30% (Percentage decrease) =

450 - (30% × 450) =

450 - 30% × 450 =

70 ÷ 100 × 450 =

70 × 450 ÷ 100 =315

Q2: 450 + 30(Percentage increase) =

450 + (30% × 450) =

450 + 30% × 450 =

130 ÷ 100 × 450 =

130 × 450 ÷ 100 =585

The dimensions of a plastic container are 8 in x 6 in x 4 in. What is the volume of the container? in3

Answers

Answer:

8 x 6 x 4 = 192

Step-by-step explanation:

Volume is l x w x h

Answer:

The answer is 192 inches cubed.

Step-by-step explanation:

The formula to solve the volume of a 3-D shape is length times width times height.  So you would multiply 8 times 6 times 4. Then you just add the descriptions.

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock
ABC over the past month with an r-value of 0.9948. How much do you think
ABC will be worth at x = 34 days?
A. $2343.31
B. $22.17
C. $2262.43
D. $65.89

Answers

The answer is C. $2262.43!

The amount of ABC will be at x = 34 days is, $2245.46.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The equation y = 65.89x + 22.17 fits the scatterplot of the values for stock ABC over the past month with an r-value of 0.9948.

Now, we can calculate the value of ABC by substituting x = 34 into the equation as;

y = 65.89(34) + 22.17

y = 2245.46

Therefore, the value of ABC at x = 34 days is approximately $2245.46.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

Given f(x) = –2x + 2, find f(6).

Answers

Answer:

-10

Step-by-step explanation:

_________________________________

Solution,

f(X)= -2x+2

f(6)= -2*6+2

= -12+2

= -10

So the right answer is -10.

hope it helps

Good luck on your assignment

______________________________

For the following fraction ,tell whether you will add ,subtract, or multiply the exponents

Answers

Answer:

Add the exponents

Step-by-step explanation:

Product Rule: am ∙ an = am + n, this says that to multiply two exponents with the same base, you keep the base and add the powers.

EX:

x multiplied by  x^5=x^6

Answer:

We add them

But for negative values we always keep the negative value as a decrease.

4 x -4 as powers still becomes -8

and not -16

Step-by-step explanation:

The exponent "product rule" tells us that, when multiplying two powers that have the same base, you can add the exponents. In this example, you can see how it works. Adding the exponents is just a short cut! The "power rule" tells us that to raise a power to a power, just multiply the exponents.

2^4 x 3^-4 = 16/81 shows and proves we multiply them and just use adding as a short cut.

20) After 8 hours, half of a 16-gram sample of a radioactive element remains. Find the constant k for this element for t hours, then use y=ne^-kt to write the equation for modeling it’s exponential decay
- please help me

Answers

Answer:

k = 0.086

Step-by-step explanation:

We have the equation

y=ne^(-kt)

where y is the amount of radioactive material after t hours, n is the initial amount of radioactive material, and k is some constant.

We know the following data:

t: 8 hoursy = n/2 (half of a radioactive element remains)

Replacing into the equation and solving for k:

[tex]y=ne^{-kt}[/tex]

[tex]\frac{n}{2}=ne^{-k8}[/tex]

[tex]0.5=e^{-k8}[/tex]

[tex]ln(0.5)=ln(e^{-k8})[/tex]

[tex]ln(0.5)=-k8ln(e)[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]\frac{ln(0.5)}{-8}=k[/tex]

[tex]k = 0.086[/tex]

DEllAC AD=BE AB=16 BC=24
BE-? BD-?

Answers

Answer:

BE = 3.6 units

BD = 12.4 units

Step-by-step explanation:

From the picture attached,

Since DE║AC, ΔBDE and ΔABC will be similar.

In these similar triangles corresponding side will be in the same ratio.

[tex]\frac{BD}{AB}=\frac{BE}{BC}[/tex]

[tex]\frac{AB-AD}{AB}=\frac{BE}{BC}[/tex]

[tex]1-\frac{AD}{AB}=\frac{BE}{BC}[/tex]  

1 - [tex]\frac{BE}{AB}=\frac{BE}{BC}[/tex] [Since AD = BE]

1 - [tex]\frac{BE}{16}=\frac{BE}{24}[/tex]

1 = [tex]\frac{BE}{16}+\frac{BE}{24}[/tex]

1 = [tex]BE(\frac{3+2}{48})[/tex]

BE = [tex]\frac{18}{5}[/tex]

BE = 3.6 units

Therefore, AD = BE = 3.6 units [given]

Now BD = AB - AD

              = 16 - 3.6

              = 12.4 units

Evaluate the following expression.
5-1
50

Answers

Step-by-step explanation:

Hope this is correct

Hope it helps you

Evaluate this expression.
3^-2 ANSWER ASAP PLEASE

Answers

Answer:

0.11111111111

Step-by-step explanation:

Answer:

1/9 or 0.1 repeating

Step-by-step explanation:

Start by doing the inverse of the square root of 2 (that is the negative sign)

The inverse of 3^-2 is 1/3^2

Therefore, your answer is 1/9.

Hope this helps!

Beth traveled for 8 hours and arrived at her destination 480 miles away. How far would Beth have traveled if she had continued on her trip for 2 additional hours? Name two different rates that can used in solving this problem.

Answers

Answer:

She'd have travelled 120 extra miles, 600 miles in total.

Step-by-step explanation:

480 : 8 = 60 --> 60 miles per hour

60 x 10 = 600 --> 600 miles in 10 hours at that speed

600 - 480 = 120 --> extra miles in the extra two hours at that speed

Which is the graph of the linear equation 3x – 4y = –12? On a coordinate plane, a line goes through points (0, 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 3). On a coordinate plane, a line goes through points (0, negative 3) and (4, 0). On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Answers

Answer:

On a coordinate plane, a line goes through points (negative 4, 0) and (0, 3).

Step-by-step explanation:

I graphed the equation on the graph below so you can where I got my answer.

Answer:

the answer is D

Step-by-step explanation:

hope this helps!

I have finished the table but stuck in the question after...

Answers

Answer:

7/48

Step-by-step explanation:

there are 48 in total

there are 7 white females

7/48

If anyone helps me with these questions I will give them Brainiest

Answers

Answer:

For question 2: the answer is 84 cm

Step-by-step explanation:

The formula for the area of a rhombus/parralelogram is A = bh or base times height.

Answer:

For question 4: the answer is 465 cm

Step-by-step explanation:

The formula for a rhombus is A = bh or base times height. If you fill in those values for the base and height it would be A = 30(15.5)

Answer:

For question 5: the answer is 45

Step-by-step explanation:

The formula for a parralellgram is A = bh. So in this case, A = 18(2.5)

Answer:

For question 6: the answer is 180 feet

Step-by-step explanation:

The formula for a parallelogram is A = bh. But the height is in yards so we would have to convert it into feet. 3 yards equals 9 feet. SO, 20(9) equals 180.

Answer:

For question: 9 the answer is 21

Step-by-step explanation:

The formula for a parrallelogram is A = bh. But in this case the area is filled in for us. 336 = b(16). To find the area, we usually multiple but we will do the opposite because we have to find the base. So, 336/16 equals the base of 21.

Answer:

For question 10: the answer is 11.7

Please mark brainliest I worked hard on these questions.

I need help solving this asap

Answers

Answer:

the answer will be A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Select the ordered pair that is a solution
of this equation.
x-2y = -8
Click on the correct answer.
(2,1)
(2,5)
(5.2)​

Answers

Answer:

(2,5)

Step-by-step explanation:

Choose values for  x  and substitute in to find the corresponding  y  values.

(2) - 2y = -8

2 = 2y - 8

10 = 2y

5 = y

(2,5)

Aryana wants to invest $43,000. She has two options. Option A gives her 6% compounded quarterly. Option B gives her 6% simple interest annually. Which option earns higher interest after 3 years and by how much?

Answers

Answer:

Option A earns higher interest($84115.58)

the difference in interest between the two option is  $197.9

Step-by-step explanation:

 In the problem we are going to apply both the simple interest formula and compound interest formula and compare which has the best/higher returns

Given data

Principal P= $43,000

Rate r= 6%= 0.06

time t= 3years

n= 4 (applicable for compound interest compounded quarterly)

solving for option A gives her 6% compounded quarterly

the compound interest formula is

[tex]A= P(1+\frac{r}{n} )^n^t\\A= 43000(1+\frac{0.06}{4} )^{4} ^*^3[/tex]

[tex]A=43000(1+0.015)^{12} \\A=43000(1.015)^{12} \\A=43000*1.1956\\A= 51411.58[/tex]

Interest is [tex]A-P= 51411.58-43000= 8411.58[/tex]=$8411.58

solving for option B  which gives her 6% simple interest annually

the simple interest formula is

[tex]A=P(1+r)^{t} \\A=43000(1+0.06)^3\\A=43000(1.06)^3\\A=43000*1.191\\A= 51213.68[/tex]

Interest is[tex]A-P=51213.68-43000= 8213.68[/tex]= $8213.68

calculating the diference in interest between the two options we have

[tex]8411.58-8213.68= 197.9[/tex]= $197.9

Option A earns higher interest

A: y = 13 - 2x
B: y = 8 - x
At which point do these two lines intersect?

A. (1, 7)
B. (1.5, 3.0)
C, (1.6, 3.2)
D. (2, 9)

Answers

Answer:

Step-by-step explanation:

8 -x = 13 - 2x

x + 8 = 13

x = 5

y = 8 - 5

y = 3

(5, 3)

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!



A line has *fill in blank* but no *fill in blank*.

Answers

Answer:

A line has length, but no width or height

Step-by-step explanation:

Using substitution to alive equation with two variables

Answers

Answer:

X=27

Step-by-step explanation:

-4•4= -16

Move -16 to the other side

3x=81

x=27

1. Shannon is conducting an experiment where she flips a coin and then rolls a six sided die. How many total possible outcomes are there in this experiment?

1. 8
2. 12
3. 14

2. How many possible outcomes are there when Shannon flips a head and rolls an even number?

1. 3
2. 4
3. 6

3. What is the theoretical probability that Shannon flips a tail and rolls a two?

1. 2/12
2. 1/12
3. 3/12

Answers

Answer:

1. - (C) 14

2. - (B) 4

3 - (A) 2/12

In the picture above, y equals to ___
degrees. The acute angle (2y+6) measures___
degrees and its obtuse linear pair measures___
degrees. The variable x equals to___
degrees.

Answers

Answer:

y=18 and (2y+6) measures 42 the answer for obtuse 138  the last one is 46

Every Wednesday, Wayne works out for 3/4 of an hour at the fitness center. Every Saturday, he goes to the fitness center again and exercises for 3 times as long. How much time does Wayne spend at the fitness center in all each week?

Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.

Answers

Answer:

3 hours

Step-by-step explanation:

3/4 + 3(3/4) =4*(3/4) = 3

Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =

Answers

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

Find the volume. SHOW WORK

Answers

Answer:

827.39

Step-by-step explanation:

Volume = L X W X H

So 6.2 X 8.5 X 15.7

6.2 X 8.5 = 52.7

52.7 X 15.7 = 827.39

So the volume is 827.39

Answer:

413.695


Explanation:


V = 0.5 X b X a X h

Find the perimeter of a quadrilateral with vertices at C (−1, 2), D (−2, −1), E (2, −2), and F (1, 1). Round your answer to the nearest hundredth when necessary.

PLEASE answer quick, I need this in the next 15 minutes

Answers

Answer:

11.5214512633

Step-by-step explanation:

Add up all the sides, using Pythagorean theorem for each side by finding the difference in horizontal and vertical coordinates.

CD: [tex]\sqrt{\left(2-\left(-1\right)\right)^{2}+\left(\left(-1\right)-\left(-2\right)^{2}\right)}[/tex] = 2

CF: [tex]\sqrt{\left(1-2\right)^{2}+\left(1-\left(-1\right)\right)^{2}}[/tex] = 2.2360679775

EF: [tex]\sqrt{\left(2-1\right)^{2}+\left(-2-1\right)^{2}}[/tex] = 3.16227766017

DE: [tex]\sqrt{\left(2-\left(-2\right)\right)^{2}+\left(\left(-2\right)-\left(-1\right)\right)^{2}}[/tex] = 4.12310562562

add them all up 11.5214512633

The mathematical sentence 2x + 1 = x + 5 is a/an ______. Is it an inequality or an equation.

Answers

It's an equation.

(Btw i luv your profile pic :))

Answer:

It's an equation.

Step-by-step explanation:

[tex]2x + 1 = x + 5 \\ \: \: is \: \: \: \: an \: \: \: \: equation[/tex]

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value

for an example,

[tex]4 < 6[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Equation B: 3x+2x+6=6x-5 ( does that have one solution, no solution, or many solutions?) and explain why

Answers

It has one solution.

please see the attached picture for full solution

Hope it helps

Good luck on your assignment...

someone please help me please and thank you

Answers

Answer:

it is the second one

Step-by-step explanation:

if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.

write the equation of a line with a slope of 3 and a y-intercept of 4. do not use spaces in your response.

Answers

Answer:

No Spaces - y=3x+4

Step-by-step explanation:

Using the format y= Mx+ b , m representping the slope and b representing the y intercept, the correct equation would be y = 3x + 4. Hope this helps : )

The equation of the asked line is y = 3x+4

What is an equation?

The equation is the statement of equality between two expressions consisting of variables and/or numbers.

Given that, a line with a slope of 3 and a y-intercept of 4.

The standard equation of a line is;

y = mx+c

Therefore, putting the values we get,

y = 3x+4

Hence, The equation of the asked line is y = 3x+4

For more references on equations, click;

https://brainly.com/question/29538993

#SPJ2

Other Questions
I really need to get this rain I will give you Brainlyest or whatever that thing is called if you get this right Two lines are intersecting. What is the value of x? SOMEONE PLEASE HELP ME ASAP PLEASE!!!! Which of these statements are accurate? Hexokinase is a type of transferase that catalyzes the transfer of a phosphoryl group from ATP to a hexose. Hexokinase transfers the terminal phosphate of ATP to carbon 3 of glucose. The conformational shift that occurs when glucose, but not water, enters the active site prevents water from hydrolyzing ATP. Hexokinase consists of two domains, or lobes, that come together when glucose and the MgATP2MgATP2 complex are bound. Most kinases require the presence of a monovalent metal ion cofactor to prevent ATP hydrolysis. Hexokinase is found in the mitochondrial membrane. which of these sentences contains an adverbial clause Question 4 (10 points)During the Italian Renaissance, many talented artists worked under the _______ of the Medici family. aaegis bconciliation camends dmediationQuestion 5 (10 points)Lisa hoped that her apologetic letter to the Perezes would make _________ for her lack of hospitality during their visit. amitigation bamends cconciliation daegisQuestion 6 (10 points)Sam's weekly allergy shots helped to _________ his uncomfortable symptoms. aconciliate bfoster cextricate dmitigate Please help. Only if you know how to do this . Ill mark you as brainliest if correct. Add 7m/16+(-m/16) . Reduce, if possible.Plzz answer quickly Who did Mattie wake up to in the middle of the night? fever 1793 12? Select three options.Which phrases can be represented by the algebraic expressionW12 divided by a numberthe quotient of 12 and a numbera number divided by 12a number divided into 12the product of 12 and a number A company produces a single product. Variable production costs are $13.50 per unit and variable selling and administrative expenses are $4.50 per unit. Fixed manufacturing overhead totals $51,000 and fixed selling and administration expenses total $55,000. Assuming a beginning inventory of zero, production of 5,500 units and sales of 4,350 units, the dollar value of the ending inventory under variable costing would be: Classify the following triangle check all that apply. 98,41,41 Determine where producer is experiencing a producer surplus or consumer surplus, along with the amount of the surplus. For each scenario, decide whether it creates a producer or a consumer surplus. Then, calculate the ensuing surplus. Alice is willing to spend $30 on a pair of jeans, and has a coupon for $10 off which she found online. She selects and purchases a pair of jeans which cost $35 pre-discount. Alice experiences a Alice's surplus: $ Jeff finds some steaks for $16 for which he would have been willing to pay $20. The butcher notices the meat is near the expiration date and gives him an extra 75% off. Jeff experiences a Jeff's surplus: $ Nicole has a hockey puck from the 2018 Winter Olympic Games and puts it up for sale on eBay. She will only sell the puck if the winning bid is greater than or equal to $500. After bidding closes, the last bid stands at $501. Nicole experiences a Nicole's surplus: $ 3. (03.06)Choose the point-slope form of the equation below that represents the line that passes through the points (-6, 4) and (2,0). (2 points) -30 belongs to what family of real numbers ? Help!Janella has her hair styled and wants to tip her stylist 18%. Write an equation that could be used to calculate the tip, y, for a bill total of x dollars. The Dominican Republic is considering placing a room tax on Eco Hotels. The preliminary analysis requires them to calculate consumer and producer surplus before the tax. Below are the demand and supply equations for eco hotel rooms in the Dominican Republic. Demand equation: Qd = 2500 - 5P Supply equation: Qs = 1OP - 500 Calculate consumer surplus. Number Calculate producer surplus. What would be the effects on Ghana if an object greater than 10km in size from space collided with the earth in Accra? Karen is making a set of costumes for the school play using a piece of cloth. She reduces the length of the cloth she intends to use by 10%. If the initial length of the cloth that she wanted to use was 15 meters, what is the new length of the cloth she wants to use? 4 (x 1) 4 (x + 2.5) = x 6