You borrowed $200 from your brother and he's created 2 plans to help you decide how you want to pay it back. His plans are below.

Question 1: How much money did you borrow initially?

Question 2: How much does each plan have you paying back each week (assume there are 4 weeks in each month).

Question 3: Which plan would you choose and why?

Answer:

76

Step-by-step explanation:

okay so 13=13 d = t

13×d = t

13×6 = 76

Step-by-step explanation:

[tex]from \: boyle 's \: law \\ P _{1}V _{1} = P _{2} V _{2} \\ (4 \times 20) = (P _{2} \times 5) \\ P _{2} = \frac{(4 \times 20)}{5} \\ P _{2} = 16 \: atm[/tex]

Yes, raising fraction as the power to the integer number is same as calculating the reciprocal of the fraction.

According to the question, the simplification method for the raising fraction as the power to the integer number(-1) is same as calculating the reciprocal of the fraction.

Raising power means multiplying that number that many times to get the answer.

What is simplification in fraction?

The word simplification in fraction is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.

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Answer:

The exact solution is

[tex]x = \frac{Ln(60)}{7*Ln(5)}[/tex]

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

[tex]5^{7*x} = 60\\[/tex]

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

[tex]Ln(5^{7*x}) = Ln(60)[/tex]

Then we get:

[tex]7*x*Ln(5) = Ln(60)[/tex]

Solving that for x we get:

[tex]x = \frac{Ln(60)}{7*Ln(5)} = 0.363[/tex]

So the exact solution is:

[tex]x = \frac{Ln(60)}{7*Ln(5)}[/tex]

And the approximation to three decimal places is:

x = 0.363

Answer:

104

Step-by-step explanation:

260x.4=104

Answer:

156

Step-by-step explanation:

Hello~

Here!

7 + 3.5

Ary~

Answer:

The monument is standing at a distance of 834.322 feet

Step-by-step explanation:

Given

Height of the  Jefferson Davis Monument in Fairview = 351 feet

Pedro while looking at the top of the monument makes an angle with the horizontal surface =  75 degrees

As we know  tan θ = Perpendicular / Base

Substituting the given values in above equation, we get -

tan 75 = 351/Base

Base = 351/tan 75

Base = 834. 322 feet

[tex]\\ \tt\longmapsto 132\pi=A4[/tex]

[tex]\\ \tt\longmapsto A=\dfrac{132\pi}{4}[/tex]

[tex]\\ \tt\longmapsto A=33\pi[/tex]

Answer:

272 cm²

Step-by-step explanation:

Step 1

We have to find the scale factor

When given the volume of two solids, the formula for the scale factor is

V1/V2 = (Scale factor)³

The volume of Pyramid A is 704 cm³ and the volume of Pyramid B is 297 cm³

V1 = Pyramid A

V2 = Pyramid B

704/297 = (scale factor)³

We simplify the left hand side to simplest fraction

The greatest common factor of 704 and 297 = 11

704÷11/297÷11 = (scale factor)³

64/27 = (scale factor)³

We cube root both sides

cube root(scale factor)³ = cube root (64/27)

scale factor = (4/3)

Step 2

(Scale factor)² = S1/S2

S1 = Surface area of Pyramid A =?

S2 = Surface area of Pyramid B = 153 cm²

Hence,

(4/3)² = S1/153

16/9 = S1/153

Cross Multiply

S1 × 9 = 16 × 153

S1 = 16 × 153/9

S1 = 272 cm²

Therefore, the Surface Area of Pyramid A = 272 cm²

Answer:

A

Step-by-step explanation:

The truncation error for S4 is 4.6875

Truncation error is defined as the difference between the true (analytical) derivative of a function and its derivative obtained by numerical approximation.

In the given Truncation error formula put n= 4

On substitution n value from 1 to 4

5/16 +5/8 + 5/4 + 5/2 = 4.6875

Thus the truncation error for S4 is 4.6875.

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Answer:

A

Step-by-step explanation:

edg 2023

Answer:

Step-by-step explanation:

Brooks Middle School ordered 7 1/2 pizzas on Monday for lunch. The teachers ate 1/3 of the pizzas for lunch. How many pizzas did the staff eat on Monday?

This is calculated as: 1/3 of 7 1/2

= 1/3 × 7 1/2 pizzas

Write a number sentence to support your answer

Answer:

Step-by-step explanation:

Answer:

566

Step-by-step explanation:

785-219=566

Answer:

1/2(n-5)

9

Step-by-step explanation:

n less 5 = n - 5

if she finds the half of the difference, divide the difference by 2 = 1/2(n-5)

If n = 23

1/2 x (23 - 5)

= 1/2  x 18 = 9

Answer:

[tex]cos32° = \frac{x}{23} [/tex]

cos32°=Adjacent / hypotenuse

Answer:

x

Step-by-step explanation:

cos32° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{23}[/tex]

Answer:

wha- I have no idea what your saying

Answer: 5

Step-by-step explanation:

Given

The length of a side is [tex]x+3\ cm[/tex]

The height of a triangle is [tex]2x-5\ cm[/tex]

Area of triangle is [tex]20\ cm^2[/tex]

Area of triangle is given by

[tex]\Rightarrow A=\dfrac{1}{2}\times \text{base}\times \text{height}[/tex]

[tex]\Rightarrow A=\dfrac{1}{2}\times (x+3)\times (2x-5)\\\\\Rightarrow 40=(x+3)\times (2x-5)\\\Rightarrow 2x^2+x-55=0\\\\\Rightarrow x=\dfrac{-1\pm \sqrt{1^2-4(2)(-55)}}{2(2)}\\\\\Rightarrow x=\dfrac{-1\pm 21}{4}\\\\\Rightarrow x=-5.5,5[/tex]

Neglecting negative value

Therefore, the value of x is 5.

Answer:

do it yourself kid.

Step-by-step explanation:

Answer:

CA=P+2Q

Step-by-step explanation:

Answer:

Not enough information

Answer:

[tex]\frac{5}{1}[/tex] or 5

Step-by-step explanation:

Using the data provided we would create the following equation to calculate Grace's bank account using the variable x to represent the number of weeks.

f(x) = 5x + 15

The slope of a function in such a function would be the value of that is being multiplied by x. The numerator would be the numberof units it is rising in a graph while the denominator represents the number of units it is moving to the right. Since in this scenario, the number is a whole number (5) the denominator is automatically 1. Meaning that the slope is 5 units up for every 1 unit to the right.

Answer:

distance or circumference= 2πr

2× 3.14× 3958.75

nb I got the radius by dividing the diameter by two

= 24,869.95

to hundreth = 24900

Answer: We can see that it has a parabola for its graph, so we can say that f(x) is a quadratic function. This means that f(x) has a parent function of y = x2.

Step-by-step explanation:

(Hope this helped Btw not mine)

Answer:

Absolute value parent function

Step-by-step explanation:

Answer:1251231

Step-by-step explanation:

We have the given equation:

9e - 7 = 7e - 11

Our goal is to isolate the variable, e.

9e - 7 = 7e - 11

     +7          +7

____________

9e = 7e - 4

-7e  -7e

____________

2e = -4

/2     /2

____________

e = -2

Answer:

A = $4,035.13

Step-by-step explanation:

Given: 380 earns, 128.25 in 7 years and 6 months

To find: The rate percent per annum

Formula: [tex]A = P(1 + rt)[/tex]

Solution: I = A - P = $3,655.13

Equation:

A = P(1 + rt)

First, converting R percent to r a decimal

r = R/100 = 128.25%/100 = 1.2825 per year.

Solving our equation:

A = 380(1 + (1.2825 × 7.5)) = 4035.125

A = $4,035.13

The total amount accrued, principal plus interest, from simple interest on a principal of $380.00 at a rate of 128.25% per year for 7.5 years is $4,035.13.

Answer:

Step-by-step explanation:

6^7/6^3

=6^7-3

=6^4

Answer:

[tex] \rm\displaystyle (x + 2{)}^{2} + (y + 5 {)}^{2} = {1}^{} [/tex]

[tex] \rm\displaystyle (x - 7{)}^{2} + (y + 3{)}^{2} = { 7 }[/tex]

Step-by-step explanation:

we are given the center and the redious of a circle equation

remember that,

[tex] \rm\displaystyle E _{c} :(x - h {)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

where (h,k) is the centre coordinate and r is redious of the circle

given that, h=-2 , k=-5 and r=1

Thus substitute:

[tex] \rm\displaystyle (x - ( - 2){)}^{2} + (y - ( - 5) {)}^{2} = {1}^{2} [/tex]

simplify:

[tex] \rm\displaystyle (x + 2{)}^{2} + (y + 5 {)}^{2} = {1}^{} [/tex]

Likewise

[tex] \rm\displaystyle E _{c} :(x - h {)}^{2} + (y - k {)}^{2} = {r}^{2} [/tex]

given that,h=7,k=-3 and r=√7

substitute:

[tex] \rm\displaystyle (x - (7{))}^{2} + (y - ( - 3){)}^{2} = { \sqrt{7} ^{2} }[/tex]

simplify:

[tex] \rm\displaystyle (x - 7{)}^{2} + (y + 3{)}^{2} = { 7 }[/tex]