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4 years ago

Find three consecutive even integers whose sum is 162

1 answer:

7 0

An easy way to find the solution is by dividing the number by how many consecutive integers you need. Then basically find the integers around that number. To check your answer, add the three integers up to see if they equal your beginning number. Your solution is 52, 54, 56.

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A principal of $4500 is invested at 5.75% Interest, compounded annually. How much will the investment be worth after 5 years?

Mila [183]

Answer:

$5,951.33

Step-by-step explanation:

We can use the compound interest formula to solve this problem:

$A=P(1+\frac{r}{n} )^{nt}$

P = initial balance

r = interest rate (decimal)

n = number of times compounded annually

t = time

First, change 5.75% into a decimal:

5.75% -> $\frac{5.75}{100}$ -> 0.0575

Now, plug in the values:

$A=4,500(1+\frac{0.0575}{1})^{1(5)}$

$A=5,951.33$

After 5 years, the investment will be worth $5,951.33

6 0

4 years ago

You bought a large container of fruit punch. The label on the container says there are 128 fluid ounces of fruit punch in the co

coldgirl [10]

1 cup=8oz
ratio
1:8=x:128
1/8=x/128
multiply both sides by 128
128/8=x
16=x

16 cups

7 0

4 years ago

Read 2 more answers

the graph of a line in the xy-plane has slope of 7 and contains the point(6,28). A second line passes through the points (3,7) a

Maslowich

Answer:

x = 3

Step-by-step explanation:

We require the equations of the 2 lines.

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

The line has slope = 7, hence

y = 7x + c ← is the partial equation

To find c substitute (6, 28) into the partial equation

28 = 42 + c ⇒ c = 28 - 42 = - 14

y = 7x - 14 → (1)

Calculate the slope of the second line using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (3, 7) and (x₂, y₂ ) = (- 1, - 13)

m = $\frac{-13-7}{- 1-3}$ = $\frac{-20}{-4}$ = 5, thus

y = 5x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (3, 7), then

7 = 15 + c ⇒ c = 7 - 15 = - 8

y = 5x - 8 → (2)

Solving (1) and (2) by equating the right sides

7x - 14 = 5x - 8 ( subtract 5x from both sides )

2x - 14 = - 8 ( add 14 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

The x- coordinate of the point of intersection is x = 3

6 0

3 years ago

please help please help please please please please please please please please please please please please please please please

Agata [3.3K]

1) 5^6
2) 9/7^4
3) 2^2x^6
4) -5^3

3 0

3 years ago

Find the total surface area of this cone.

julsineya [31]

Answer:

A = πr² = B

A = π(8)² = B

A = (3.14)(64) = B

A = 200.96 m = B

A = πrl + B

A = π(8)(25) + 201

A = 628 + 201

A = 829 m

7 0

3 years ago