Mathematics High School

A new bank customer with 3,000 wants to open a money market account the bank is offering a simple interest rate of 1.8% how much interest will the customer earn in 20 years

Answers

Answer 1

Answer:

$3540

Step-by-step explanation:

See explanation

Step-by-step explanation:

The Simple Interest will be calculated as:

= P × R × T

= $3000 × 1.8% × 10.

= $3000 × 0.018 × 10

= $540

The interest that the customer earn in 10 years is $540.

Then, the account balance after 10 years will be:

= Principal + Interest

= $3000 + $540

= $3540

Therefore, the account balance will be $3540

Related Questions

13 9/10 divided by 3 1/2

Answers

Answer:

[tex]3 \frac{13}{44} [/tex]

Step-by-step explanation:

First let's write our equation

[tex]13 \frac{9}{10} \div 3 \frac{1}{2} [/tex]

Now let's make them improper fractions

[tex] \frac{139}{10} \div \frac{7}{2} [/tex]

Now since we're dividing we with fractions we do the reciprocal and multiply

[tex] \frac{139}{10} \times \frac{2}{7} [/tex]

[tex] \frac{139}{5} \times \frac{1}{7} = \frac{139}{42} = 3 \frac{13}{42} [/tex]

Viable what is the definition

Answers

Answer:

capable of working successfully; feasible.

Step-by-step explanation:

(of a plant, animal, or cell) capable of surviving or living successfully, especially under particular environmental conditions.

Can anyone give a step-by-step guide on how to answer these types of questions? I'm really struggling with similar shapes so thank you in advance.

Answers

Answer:

a) 8cm

b) 19.8cm

Step-by-step explanation:

The key to these types of questions is to keep proportions in mind.

To solve the first question, you want to find the proportion of the smaller triangle to the bigger triangle. The length of AE is 6cm, but the length of AD is (6+4) = 10cm. So the proportion of the bigger triangle to the smaller triangle is 10/6. So to find the lengths of the sides of the bigger triangle, we want to keep this number in mind.

The BE side is parallel to CD, so we have to use length of BE multiplied by the proportion in order to get the length of CD.

CD = 4.8 * (10/6) = 8

CD = 8cm

For the second question, you use the same concept to find all the other side lengths. The only one you need left for the shape EBCD is side BC. Do the same thing you did before, take the length of the side of the smaller triangle that corresponds with side AC on the bigger triangle. In this case, it's AB, which is 4.5cm. Multiply this by 10/6 to get AC.

AC = 4.5 * (10/6) = 7.5

AC = 7.5

But we're not done. We just found the length of AC, but we need the length of BC to calculate the perimeter. To do this, we want to take the length of AC - the length of AB.

7.5 - 4.5 = 3

So the length of BC is 3cm. Now, to find the perimeter, just add all the sides of EBCD together.

4.8 + 4 + 8 + 3 = 19.8cm.

Hope this helps.

Answer:

a) CD = 8 cm

b) Perimeter of EBCD is 19.8 centimeters

Step-by-step explanation:

For this question, you can assume that ΔABE and ΔACD are similar. That's proven by BE ║ CD, but that's not directly relevant to the question so I won't explain it unless you would like me to.

In 2 similar triangles, all corresponding angles are congruent and all corresponding sides have the same scale factor.

For example, in ΔABC and ΔXYZ:

[tex]\frac{AB}{XY} =\frac{AC}{XZ} =\frac{BC}{YZ}[/tex]

Using those relationships, you can solve for any side in one triangle given the corresponding side in the other triangle.

In the given triangles ΔABE and ΔACD, CD corresponds to BE, so:

[tex]\frac{CD}{BE} =\frac{AD}{AE}[/tex]

where AD is just 6 + 4 = 10.

[tex]\frac{CD}{4.8} =\frac{10}{6} \\\\\frac{CD}{4.8} =1.6667\\\\CD=8[/tex]

CD = 8cm

Doing the same thing as above, now find the length of AC:

[tex]\frac{AC}{AB} =\frac{AD}{AE} \\\\\frac{AC}{4.5} =\frac{10}{6}\\\\\frac{AC}{4.5} =1.6667\\\\AC=7.5[/tex]

Now, to find BC:

[tex]BC=AC-AB\\BC=7.5-4.5\\BC=3[/tex]

Finally, add up the sides to find the perimeter of EBCD:

[tex]4.8+3+8+4\\19.8[/tex]

Perimeter of EBCD is 19.8 centimeters

Adam is 5 times as old as Charles. In 8 yrs the sum of their ages will be equal to twice Adam's present age. Find their present age.

Answers

Answer:

charles 4 years

adam 20 years

Step-by-step explanation:

charles present = x

adams present age 5x

8 years later

charles x+8

adam 5x+8

ATQ

x+8+5x+8=10x

4x=16

x=4

5x=20

An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?

Answers

Answer:

The answer is $28.93.

Step-by-step explanation:

Using the butterfly method I got $28.93 as my answer.

$68.89 x 42%= $2,893.38

$2,893.38÷100%= $28.9338

$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.

Answer:

answer is D.

68.89 x .42= $28

Step-by-step explanation:

to get your answer you multiply the numbers.

$68.89 x .42 = $28

your answer is $28.

hope this helps!

please make me brainliest !

-8x+60=28 word problems pls

Answers

x=4

Step by step:

-8x+60=28

Subtract 60 on both sides.

-8x=-32

Divide both sides by -8

x=4

Hope this helps!! :)

Rewrite each of the following expressions without using absolute value.
a) |a| if a>0
b) |2b| if b<0
c) |c| if c <0
d) |3c| if c≥0

Answers

Answer:

a) answer is "a"

b) answer is "-2b"

c) answer is "-c"

d) answer is "3c"

Step-by-step explanation:

Absolute value is positive value of something.

a>0 then a must be positive so absolute value means nothing if a is already positive. Therefore answer is a.

b<0, so b must be negative. absolute value makes 2b positive but you know b is negative so answer is -2b.

c<0 same as a except sign is flipped so answer is negative instead of positive.

c>=0, C is either 0 or positive so absolute value does nothing yet again so answer is just 3c.

Sorry is explanation wasn't through i'm only in middle school

a. | a | > 0, a is greater than and less than zero.

b. | 2b | if b < 0, b is not less than zero not greater than zero.

c. | c | if c < 0, c is not less than zero not greater than zero.

d. | 3c | if c ≥ 0, c is greater than zero and less than zero.

What is an absolute value function?

We know the absolute value function of the modulus function always outputs a positive value irrespective of the sign of the input.

In piecewise terms | x | = x for x ≥ 0 and | x | = - x for x < 0.

Given,

| a | > 0

∴ a is greater than and less than zero.

| 2b | if b < 0

b is not less than zero not greater than zero.

| c | if c < 0

c is not less than zero not greater than zero.

| 3c | if c ≥ 0.

c is greater than zero and less than zero.

learn more about modulus functions here :

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Convert an area 75000m2 to hectares

Answers

Answer:

10000m2 =1 hectare

75000m2 = 75000/10000 hectares

=75/10hectares

=7.5hectares

note:

Answer:

The graph will shift 6 unit left and 3 units left

Step-by-step explanation:

[tex]g(x) = \sqrt{x+6+3}[/tex]

mike drove 10 miles in 30 minutes, what's the average speed in miles per hour

Answers

Mike is driving 20 miles per hour

If he is driving 10 miles in 30 mins
(1/2 an hour) if you times both by two it tells you the MPH that Mike is driving.

The height above the ground, h, in feet, of a bullet fired upward is given by the formula

h = −162 + 80 + 224. Find the number of seconds after being fired the bullet hits the ground.

Answers

Answer:

After 7 seconds it hits the ground.

h= -16^2 + 80x + 224

(I'm assuming this is what you meant, because these problems are generally quadratic)

Use quadratic formula to find when it hits the ground (get zeros)

x = -2, x = 7

Answer:

Step-by-step explanation:

y=.02x+9 - First Part

y=.05x - Second Part

A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts. What is the equation and slope.

Answers

The equation is y = 0.5x and the slope is 0.5.

A function is said to be linear if it is a straight line graph and it can be represented by the equation:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

Let y represent the height of the tomato after x weeks. Let us assume that the points are (0, 0) and (6, 3), hence:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{3-0}{6-0} (x-0)\\\\y=0.5x[/tex]

Therefore the equation is y = 0.5x and the slope is 0.5.

Find out more at: https://brainly.com/question/21835898

The equation for the scenario "A farmer is measuring the average height y of her tomato plants x weeks after planting sprouts" is y = mx + c

The slope = m

The duration after which the farmer measures the average height of her tomato = x weeks

The average height of the tomato plant after x weeks = y

For the slope to be required, it means the relationship between the average height of the her tomato (y) and the number of weeks (x) is linear

This means that the average height of the tomato will be represented by a linear equation as shown below

y = mx + c

The slope of the equation is m

Learn more here: https://brainly.com/question/25759076

What is the slope of the following line, y = -5x+4

Answers

Answer:

the slope is -5x

Step-by-step explanation:

y=mx+b

m= slope

b= y-int

x= vairable

y= answer

Can someone help me with this question, please explain your answer. :D

Answers

Answer:

21/8 yards

Step-by-step explanation:

If Sarah wants to make her own costume she will need 21/8 yards of yarn.

To get this, you multiply 2 by 8 and get 16.

Next, you will add 5 onto 16 and get 21.

Keep your 21 and put is as your numerator.

Now take your 8 and put it as your denominator.

Kyle Lowry earned $31.2 million in US dollars playing for the Toronto Raptors during the 2018–2019 season. How much was he earning in US dollars each hour of the year?
A $2050.20
B $1872
C $3562
D $1300

Answers

Answer:

I think C or D not sure about the question answer

He was earning 3562 each hour.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Kyle Lowry earned $31.2 million.

So, In each month he read

= 31200000 / 12

= $2,600,000

and, in each day she earn

= 2, 600, 000 / 30

=86,666.666

and, in each hour she earn

= 2, 600, 000 / 24

= 3611

Hence, He was earning 3562 each hour.

Learn more about unitary method here:

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Jan is looking for similar figures. Which choice is similar to the figure shown?

Answers

Bottom left as it's measurements and shape are the closest to the one Jan has

PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE

Answers

Answer: [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

- t / u + vw (plug the number in)

= - 2 / (-2/3) + (-1)(-1/3)

= 2/ (2/3) + 1/3

= 2(3/2) + 1/3 (the 2 were being cancel)

= 3 + 1/3

= [tex]3\frac{1}{3}[/tex]

Answer:

A. 3 1/3

Step-by-step explanation:

Given:

t = 2, u = -2/3, v = - 1, w = - 1/3

Find:

- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3

Correct choice is A

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