Write the fraction or mixed number as a percent. 4325 =

You were born, your mother deposited 2000 in an account that pays 5% simple interest. How much would the balance be in your acco

leonid [27]

Answer:

C

Step-by-step explanation:

the formula for simple interest is given as A=P(1+rt), where A is the final balance, P is the initial principal balance (the amount of money that you start out with), r is the annual interest rate, and t is the time

we know that the mom deposited 2000 into an account when the person was born. This is our initial principal balance (the amount of money started out with)

substitute that value into the formula to get:

A=2000(1+rt)

we also know the rate, which is 5% and the time, which is 18

5%=0.05 (we need it as a decimal)

so substituting the values into the equation:

A=2000(1+0.05*18)

A=2000(1+0.9)

A=2000(1.9)

A=3,800

therefore the answer is C

Hope this helps!

8 0

3 years ago

How do i simplify this?

Law Incorporation [45]

Answer:

k = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define

-84 = -2(2 + 5k)

Step 2: Solve for k

Divide -2 on both sides: 42 = 2 + 5k
Isolate k term: 40 = 5k
Isolate k: 8 = k
Rewrite: k = 8

Step 3: Check

Plug in k into the original equation to verify it's a solution.

Substitute in k: -84 = -2(2 + 5(8))
Multiply: -84 = -2(2 + 40)
Add: -84 = -2(42)
Multiply: -84 = -84

Here we see that -84 does indeed equal -84.

∴ k = 8 is the solution to the equation.

5 0

3 years ago

Increasing numbers of businesses are offering child-care benefits for their workers. However, one union claims that fewer than 8

Y_Kistochka [10]

Answer: c. -2.15

Step-by-step explanation:

As per given we have:

Null hypothesis : $H_{a}: p\geq0.80$

Alternative hypothesis : $H_{a}: p$

let p be the proportion of firms in the manufacturing sector offer child-care benefits

A random sample of 390 manufacturing firms is selected and 295 of them offered child-care benefits.

sample size : n= 390

sample proportion : $\hat{p}=\dfrac{295}{390}=0.7564$

Test statistic for proportion :

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Substitute the values , we get

$z=\dfrac{0.7564-0.80}{\sqrt{\dfrac{0.80(1-0.80)}{ 390}}}$

$z=\dfrac{-0.0436}{\sqrt{0.000410256410256}}$

$z=-2.15257752474\approx-2.15$

Hence, the value of test statistic = -2.15

Correct option is c. -2.15 .

4 0

4 years ago

D is reflection over y axis

densk [106]

C.

Since it is flipping vertically, it is going OVER the x-axis which is the axis that runs horizontally.

8 0

3 years ago

Read 2 more answers

What is the slope of the line? m =

monitta

Answer:

m=0.25

Step-by-step explanation:

m = (y_2-y_1)/ (x_2-x_1)

Let's get 2 of any coordinates in the graph, for example: (4,2) and (0,1)

m = (1-2)/(0-4) = 1/4 or 0.25

8 0

3 years ago