Latoya borrowed $8000 at a rate of 9%, compounded quarterly. Assuming she makes no payments, how much will she owe after 5 years?
Do not round any intermediate computations, and round your answer to the nearest cent.
sll
5
?

Answer:

16

Step-by-step explanation:

Let us take the number be x . So the three fourths of the number will be , ¾ x . And this is equal to 10. So , According to Question ,

⇒ 3x/4 -2 = 10

⇒ 3x/4 = 10 + 2

⇒ 3/4 x = 12

⇒ x = 12 * 4/3

⇒ x = 16 .

Step-by-step explanation:

✑ [tex] \underline{ \underline{ \text{Given}}} : [/tex]

✏ [tex] \underline{ \underline{ \text{To \: find}}} : [/tex]

☞ [tex] \underline{ \underline{ \text{Solution}}} : [/tex]

First , Finding the interest :

[tex] \boxed{ \sf{Interest = \frac{PTR}{100}}} [/tex]

⇢ [tex] \sf{ \frac{806 \times 4 \times 17.8}{100}} [/tex]

⇢ [tex] \sf{ \frac{57382.2}{100}} [/tex]

⇢ [tex] \sf{£ 573.872}[/tex]

Now , Finding the total amount :

[tex] \boxed{ \sf{Amount = Principal + Interest}}[/tex]

⇢ [tex] \sf{806 + 573.872}[/tex]

⇢ [tex] \sf{ £ 1379.872}[/tex]

[tex] \pink{ \boxed{ \boxed {\tt{Our \: final \: answer : \boxed{ \tt{ £ 1379.872}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

5y^8

Step-by-step explanation:

Simplifies to:

5y^8

=5*y^8

=5*(y*y*y*y*y*y*y*y)

=5y^8

Answer:

2/3-1/2

Step-by-step explanation:

#/#/$^%/£'fcjcutyfyi

The solution is: 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we have,

given that,

8/12-4/8

now, we have to reduced to its lowest terms.

so, we have,

8/12 to get the reduced form , we have to divide both side by 4,

we get, 8/12 = 2/3

similarly, 4/8 = 1/2

so, we get,

8/12-4/8

=2/3 - 1/2

= reduced to its lowest terms

Hence, 2/3 - 1/2  is reduced to its lowest terms of 8/12-4/8.

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Answer:

[tex]3k+28[/tex] miles

Step-by-step explanation:

We are given that

Kim drove distance to see her family=k miles

We have to find the expression which represents the number of miles Tran drove.

According to question

3 times of k=3k

Now, adding 28 to 3k

Therefore, the expression is given by

3k+28

Hence, the expression which represents the number of miles Tran drove

[tex]3k+28[/tex] miles

Answer:

she walked 6 miles in the 9 days

it will approximately take Lin 8.7 minutes to run a mile.

Answer:

2x=√10+5

2x+√15=0

2x-√15=0

2x=√10+5

2x+√10+5=0

2x=√10+5

Answer:

52kg

Step-by-step explanation:

If you put the numbers in order from least to greatest you get:

43, 48, 52, 59, 63. The median is the one in the middle. So you get 52 is the median

Answer:

Hey here's ur answer

Step-by-step explanation:

Hope it helps

Answer:

1- 5.61

2- 8.5%

Step-by-step explanation:

1.87/22= .085

.085 x 66= 5.61

Answer:

Solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]

Step-by-step explanation:

We need to solve the equation [tex]3r^2-2r=-9[/tex] using quadratic formula.

The quadratic formula is: [tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

For the given equation: [tex]3r^2-2r=-9[/tex]

We can write it as: [tex]3r^2-2r+9=0[/tex]

We have a = 3, b= -2 and c=9

Putting values in quadratic formula and finding value of r

[tex]r=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\r=\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(9)}}{2(3)}\\r=\frac{2\pm\sqrt{4-108}}{6}\\r=\frac{2\pm\sqrt{-104}}{6}\\We\:know\:that: \sqrt{-1}=i\\ r=\frac{2\pm\sqrt{26} \:i}{6}\\ r=\frac{2+2\sqrt{26}\:i}{6}\:or\: r=\frac{2-2\sqrt{26}\:i}{6}\\ r=\frac{2(1+\sqrt{26}\:i)}{6}\:or\: r=\frac{2(1-\sqrt{26}\:i)}{6}\\ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}[/tex]

So, solving the equation [tex]3r^2-2r=-9[/tex] using quadratic formula we get: [tex]\mathbf{ r=\frac{1+\sqrt{26}\:i}{3}\:or\: r=\frac{1-\sqrt{26}\:i}{3}}[/tex]

Answer:

A. less than three batteries were used in five hours.

Answer:

a

Step-by-step explanation:

Answer:

Actually it’s d

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

Answer:

x = -17

Step-by-step explanation:

11 - 2x = 45

We first want to subtract 11 from both sides, so that we have the variable and it's factor on its own side. Making the equation:

-2x = 34

Next, we are going to divide each side by the variables' factor, which in this case is -2. However, there is a slightly longer way to do this, but when you're doing it by hand, it is much easier. I will be showing that way below.

So, instead of dividing either side by -2, we are going to divide both sides by 2. Giving us:

-x = 17

This next step is easy peasy. Since the negative is on the variables side and we need the variable to be positive, we just switch the position of the negative to the numerical side. Shown below.

-x = 17

to

x = -17

So, our final answer is x = -17

Hope this helps!

Answer:

Step-by-step explanation:

Solution

11 - 2x = 45

or, 2x=11-45

or, 2x=-34

x=-17

Hope it helped you!!

X= -5 ,y=10  : Z = 1.5

X= -6 ,y=2  : Z = -2.6 (goes on forever so put the line over the 6)

X= 6 ,y=2 : Z = 2.6 (again goes on forever so put the line over the 6)

Answer:

-4 ≤ y ≤ 7

Step-by-step explanation:

Inequalities

Solve the system of inequalities:

4y - 7 ≤ 3y       [1]

3y ≤ 5y + 8       [2]

A.

Subtracting 3y to [1]:

y - 7 ≤ 0

Adding 7:

y ≤ 7

Subtracting 5y to [2]:

-2y ≤ 8

Dividing by -2 (and flipping the sign):

y ≥ -4

The solution of the system is all the values of y greater or equal to -4 and less or equal to 7.

B.

The solution can be expressed as:

-4 ≤ y ≤ 7

Answer:

3 inches

Step-by-step explanation:

Typical length of a termite is 1/2 inch

[tex]Lenght \ seen \ through\ magnifying\ glass=\frac{1}{2}(6) =3[/tex]

The length of the image of the termite seen through the magnifying glass is 3 inches.

A convex lens is used in a magnifying glass to provide an enlarged image of an object. Typically, the lens is fixed inside of a frame with a grip. You can use a magnifying glass to focus light, for example, to concentrate the sun's radiation and create a hot spot at the centre to start a fire.

Given that you are using a magnifying glass that shows the image of an object that is six times the object's actual size.

The length of the image of the termite seen through the magnifying glass will be calculated as,

Length = (1 / 2 ) x 6

Length = 3 inches

Therefore, the length of the image of the termite seen through the magnifying glass is 3 inches.

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Answer:

31.25%

Step-by-step explanation:

Hope this helps

Answer:

31.25%

pls give brainliest

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

The measure of angle x° = 34°.

Step-by-step explanation:

It is given that a

We know that side of the triangle below has been extended to form an exterior angle of 146°.

We know that a straight line makes a straight angle of 180°.

Thus,

The sum of x° and 146° must be 180°.

x° + 146° = 180°

subtract 146° from both sides

x° + 146° -  146°  = 180° - 146°

x° = 34°

Therefore, the measure of angle x° = 34°.

Answer:

move decimal one place to the left i think!

Answer:

Step-by-step explanation:

That answer is really simple the answer to the is move decimal one place to the left

Answer:

x = [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Given

2 = [tex]\frac{1}{2}[/tex] (5x - 8) ( multiply both sides by 2 to clear the fraction )

4 = 5x - 8 ( add 8 to both sides )

12 = 5x ( divide both sides by 5 )

[tex]\frac{12}{5}[/tex] = x

Answer:

72

Step-by-step explanation:

so he is working 4 day in a week

and 4 day times 18 weeks =18x4=72

Answer:

Nickel = 13

Dimes = 8

Quarters = 16

Step-by-step explanation:

Let N denote Nickel,

Let D denote dime

Let Q denote quarter

Now, from online conversions;

1 nickel = 5 cents

Also, 1 dime = 10 cents

Also, 1 quarter = 25 cents

Isabelle has $5.45 which is also 545 cents.

Thus, we have;

5N + 10D + 25Q = 545 - - - (eq 1)

We are told that;

she has five more nickels than dimes, and twice as many quarters than dimes.

Thus;

N = D + 5

Also, Q = 2D

Plugging them for N and Q in eq 1 givens;

5(D +5) + 10D + 25(2D) = 545

5D + 25 + 10D + 50D = 545

25 + 65D = 545

65D = 545 - 25

65D = 520

D = 520/65

D = 8

Thus; N = D + 5 = 8 + 5 = 13

Q = 2D = 2 × 8 = 16

Answer:

20 min i hope this answers helps u

Step-by-step explanation:

10000÷500=20

Answer:

20,000 is ten times as many as 2,000

Hope this helps

Step-by-step explanation:

Answer:

503.8

Step-by-step explanation:

Since the hundredths place is above 4, you round up.

Answer:

503.8

Step-by-step explanation:

Note the tenth place value.

5 (hundreds place value)

0 (tens place value)

3 (ones place value)

.

7 (tenths place value)

8 (hundredths place value)

2 (thousandths place value)

You are trying to solve for the tenths place value. In this case, locate the tenths place value. The value is a 7. Now look at the place value directly next to it (hundredths place value). It is a 8. Because 8 is greater than 4, round up.

503.782 rounded to the nearest tenths is 503.8

Note:

Note the rules of rounding. IF:

The number is 4 or less, round down.

The number is 5 or greater, round up.

~

Answer:

E = 15 +16 = 31

6 males like cats ( the middle section) so C = 6

d = 6 +16 = 22

a = 19-6 = 13

b = 50-22 = 28

so in order: a = 13, b = 28, c = 6, d = 22, e = 31

Step-by-step explanation:

The required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,

From the table,

e = 15 + 16 = 31

At the middle of the table, c = 6 {6 males like cats}

d = 6 + 16 = 22

a = 19 - 6 = 13

b = 50 - 22 = 28

Thus, the required value for each variable in the two-way table is given as, a = 13, b = 28, c = 6, d = 22, and e = 31.

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Answer:

Step-by-step explanation:

10x - 4y=24

7x -4y=12 multiply this equation by -1

-7x+4y=-12 we add it to the first and we get

3x=12

x=12/3=4

replace x with 3 in first equation

40-4y=24

40-24=4y

16=4y

y=4, x=4

Answer:

x=-3

Step-by-step explanation:

x=-12/4 divide both sides by 4

Answer:

x = -3

Step-by-step explanation:

Let's solve your equation step-by-step.

4x=−12

Step 1: Divide both sides by 4.

4x/4 = -12/4

x=−3