A single-payment loan of $5,955. Interest rate of 8.75 percent. Days of ordinary
interest: 42. Round to the nearest hundredth. What is the interest owed? What is the maturity value?

Complete Question: You are building a shelf that fits in a corner in the figure the entire shelf is XYZ each unit in the coordinate plane represents one inch find the area of the shelf.

Answer:

112.5 units²

Step-by-step explanation:

Area of the shelf = ½*base*height.

The base is the distance between Z(0, 5) and Y(15, 5)

The height is the distance between X(15, 20) and Y(15, 5).

Therefore area of the shelf = ½*ZY*XY

Use the distance formula to find ZY and XY.

Distance between Z(0, 5) and Y(15, 5):

[tex] ZY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] Z(0, 5) = (x_1, y_1) [/tex]

[tex] Y(15, 5) = (x_2, y_2) [/tex]

[tex] ZY = \sqrt{(15 - 0)^2 + (5 - 5)^2} [/tex]

[tex] AB = \sqrt{(15)^2 + (0)^2} [/tex]

[tex] AB = \sqrt{225 + 0} = \sqrt{225} [/tex]

[tex] AB = 15 [/tex]

Distance between X(15, 20) and Y(15, 5):

[tex] XY = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

Let,

[tex] X(15, 20) = (x_1, y_1) [/tex]

[tex] Y(15, 5) = (x_2, y_2) [/tex]

[tex] XY = \sqrt{(15 - 15)^2 + (5 - 20)^2} [/tex]

[tex] XY = \sqrt{(0)^2 + (-15)^2} [/tex]

[tex] XY = \sqrt{0 + 225} = \sqrt{225} [/tex]

[tex] XY = 15 [/tex]

Area of shelf = ½*15*15 = ½*225 = 112.5 units²

Answer:

2x + 8 = -14

Step-by-step explanation:

Twice​ x, plus 8 ​, is the same as -14.

2x + 8 = -14

Answer:

2x + 8 = -14

Step-by-step explanation

Because twice is 2 times and then you plus 8 i the same as -14

so 2 times= 2x then +8 so altoghther is 2x+8 and it says it's the same as -14

so the answer is 2x+8= -14

Brainly please!

if sum of any two angles 90 then they are called complementary

A +B =90 let the complement of A is B

4x+2 +B =90

B= 90-4x-2

B = 88-4x

complementary angle = B = 88-4x

♡Hope it helps♡

Answer:

3(n-9)-2(n+4)=6n

3n-27-2n-8=6n

n-35=6n

-35=5n

n= -7

Step-by-step explanation:

3(n-9)-2(n+4)=6n

open the brackets by multiplication

3n-27-2n-8= 6n

n-35=6n

n=-7

Answer:

Step-by-step explanation:C

Answer:

Step-by-step explanation:

.....

Answer:

  8%

Step-by-step explanation:

If you subtract 1 times the original cost, the result is the tax rate:

  27/25 - 1 = tax rate = (27 -25)/25 = 2/25 = 8/100 = 8%

The tax rate is 8%.

Answer:

10 months

Step-by-step explanation:

3500 - 2000 = 1500

1500/150 = 10

Answer:

On the 23rd month

Step-by-step explanation:

Answer:

210 pages

Step-by-step explanation:

7 pages = 10 minutes

A pages = 30 minutes

A = 210 pages

The student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.

It is given that:

A student can read 7 pages of a book in 10 minutes.

Let's suppose the student read x number of pages in 30 minutes.

Mathematically,

7 pages → 10 minutes

x pages →  30 minutes

7/x = 10/30

7/x = 1/3

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

x = 7×3

x = 21 pages

Thus, the student read 21 pages in 30 minutes if the student can read 7 pages of a book in 10 minutes.

Learn more about the fraction here:

brainly.com/question/1301963

#SPJ2

Answer:

one solution

Step-by-step explanation:

-2|3x − 1| = 0?

Divide each side by -2

|3x − 1| = 0

3x-1 = ±0

Since +0 = -0 =0

3x-1 =0

There will be only one solution

Answer:

-9

Step-by-step explanation:

1−15−(−5)

−14−(−5)

−9

Answer:

-15-(-5)

= - 15 +5 (Multiplying - and - we get a plus(+))

=-10 ( - stg + stg means to subtract and since 15 is greater than 5 and it's sign is - we should keep that)

an image please   because there is nothing explainign what you need                                                                                                                                                                  

Answer:

The unit rate is 5 ft/1 second

Step-by-step explanation:

Unit rates must always be a fraction with a denominator of 1

Our unit rate is 125/25

To get to a denominator of 1 divide 25 by 25

25 ÷ 25 = 1 second

What we do to one side we have to do to the other so also divide 125 by 25

125 ÷ 25 = 5 ft

Answer:

[tex]2\frac{15909}{5000}[/tex]

Step-by-step explanation:

To make [tex]2.31818[/tex] into a fraction, you must first move it to the numerator and make 1 the denominator.

[tex]\frac{2.31818}{1}[/tex]

And then you multiply it by [tex]10,000[/tex] or you can say [tex]10^5[/tex]

[tex]\frac{2.31818}{1}*\frac{100000}{100000}[/tex]

After you multiply you divide the numerator and denominator by 2.

[tex]\frac{231818/2}{100000/2}[/tex]

And now this equals:

[tex]2\frac{15909}{5000}[/tex]

Hope this helps!

The number before the decimals always represents the whole number of a mixed number and the number after the decimals represents the fraction part of the mixed number.

2.31818 = 2.0 + 0.31818

In  2.31818

2 represents the whole number  and

0.31818 represents the fraction  31818/100000

Dividing the  fraction  31818/100000 by 2 gives

15909/50000 which cannot be further reduced.

2.31818 = 2 [tex]\frac{15909}{50000}[/tex]

https://brainly.com/question/1369626

Answer:  All adults of United States.

Step-by-step explanation:

Here, the study is all about the problem have been facing by the population of U.S.

Since adults of a society are likely voters.

So, population = All adults of United States., as only they can address the current situation or problems because they live there.

Answer:

First, frank buys 3 packs on 3 different days, so in those first 3 days he buys:

3*3 = 9 packs.

Then on other 3 days he buys 4 packs each day, so he has:

3*4 = 12 packs.

In total he haves:

9 + 12 = 21 packs.

Now he divides the packs with his 2 brothers (So we divide 21 packs between 3 people)

Then each brother gets:

N = 21/3 = 7 packs each.

Answer:

x = 17/6

Step-by-step explanation:

First of all remove parenthesis by using distribution

6x + 9 - 12x + 24 = 16

Then collect all like terms

-6x + 33 = 16

After that move the constant to the right

- 6x = 16 - 33

Calculate 16 - 33

-6x = -17

Divide both sides

x = 17/6

Hope this helps!

Answer:

[tex]\huge\boxed{D) \ f^{-1}(x) = (x-3)^2+2}[/tex]

Step-by-step explanation:

[tex]f(x) = \sqrt{x-2} + 3[/tex]

Replace f(x) by y

[tex]y = \sqrt{x-2} + 3[/tex]

Interchange x and y

[tex]x = \sqrt{y-2} + 3[/tex]

Solve for y

[tex]x = \sqrt{y-2} + 3[/tex]

Subtracting 3 to both sides

[tex]x - 3 = \sqrt{y-2}[/tex]

Taking square on both sides

[tex](x-3)^2 = y-2[/tex]

Adding 2 to both sides

[tex]y = (x-3)^2 + 2[/tex]

Replace [tex]y = f^{-1}(x)[/tex]

[tex]f^{-1}(x) = (x-3)^2+2[/tex]

Answer:

[tex]f(2)=-7[/tex]

Step-by-step explanation:

So we have the function:

[tex]f(t)=-t-5[/tex]

To find f(2), substitute 2 for t. Thus:

[tex]f(2)=-2-5[/tex]

Subtract:

[tex]f(2)=-7[/tex]

And, we're done!

Answer:

9 weeks

Step-by-step explanation:

$12 times 8 weeks =$96. Since that is not enough to pay him back you have to add one more week $12 times 9 weeks to get $108.

Answer:

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

Step-by-step explanation:

∫ 15 sin(√(at)) dt

Use substitution:

If x = √(at), then:

dx = ½ (at)^-½ (a dt)

dx = a / (2√(at)) dt

dx = a/(2x) dt

dt = (2/a) x dx

Plugging in:

∫ 15 sin x (2/a) x dx

30/a ∫ x sin x dx

Integrate by parts:

If u = x, then du = dx.

If dv = sin x dx, then v = -cos x.

∫ u dv = uv − ∫ v du

= 30/a (-x cos x − ∫ -cos x dx)

= 30/a (-x cos x + ∫ cos x dx)

= 30/a (-x cos x + sin x + C)

Substitute back:

30/a (-√(at) cos(√(at)) + sin(√(at)) + C)

-30√(t/a) cos(√(at)) + 30/a sin(√(at)) + C

Answer:

9 kilograms

Step-by-step explanation:

so first we need to find the total number of crayons

to do that we're going to multiply 6 by 24 cause each box has 24 crayons

24 × 6 = 144

so the answer of total number of crayons is 144 crayons

next we're going to find the total number of paint brushes

to do that we're going to multiply 9 by 15 cause each package has 15 paint brushes

9 × 15 = 135

so the answer of total number of paint brushes is 135 crayons

finally we're going to calculate the difference

so its 144 crayons subtracted by 135 paint brushes

144 - 135 = 9

so the difference of total number of crayons and total number of paint brushes is 9

hope that helped :))

The difference between the crayons and the paintbrush the total. I just see which one is greater

Answer:

54.18

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

If A = - 3, than A^2 is equal to (-3)^2

If a number is squared (to power of 2), it is multiplied by itself (there are two of that number being multiplied together) so it is - 3x-3

-3 x - 3 = 9,

Because 3x3 =9 and a negative multiplied by a negative makes a positive.

Hope this helped!

Answer:

9

Step-by-step explanation:

(A)^2 is a better way to write it. That way the answer is unambiguous (-3)^2 = -3 * - 3 = 9

That is the answer.

Answer:

-8

Step-by-step explanation:

I've taken a picture of the way I solved the equation.

Answer:

Sam is 15; Owen is 5.

Step-by-step explanation:

Let s denote Sam's age and let o denote Owen's age.

So, Sam is three times older than Owen. Thus:

[tex]s=3o[/tex]

In 5 years, Sam will be twice as old as Owen. In other words, Sam's current age plus 5 years will be Owen's current age plus five years times 2. Thus:

[tex]s+5=2(o+5)[/tex]

We have a system of equations. Solve for substituting the first equation into the second. Thus:

[tex]3o+5=2(o+5)[/tex]

Distribute the right:

[tex]3o+5=2o+10[/tex]

Subtract 2o from both sides:

[tex]o+5=10[/tex]

Subtract 5 from both sides:

[tex]o=5[/tex]

So, Owen is currently 5 years old.

Sam is 3 times older than Owen, so Sam is 15 years old.

And we're done :)

Answer:

≈ 0.39

Step-by-step explanation:

Area of circle:

Area of triangle:

Probability of the point within red shaded area: