What number added together is -8 and multiplied together is 4

7. A sphere has a volume of 361 in. Find the radius of the sphere.

Dahasolnce [82]

Answer:

r = 4.417

Step-by-step explanation:

in order to calculate the radius of a sphere

given that

volume of sphere = 361

π = 3.14

radius = ?

recall that the volume of a sphere = 4/3 πr³

361 = 4 /3 × 3.14 × r³

361 = 12.56r³/3

cross multiply

361 × 3 = 12.56r³

1083 = 12.56r³

divide both sides by 12.56

1083/12.56 = 12.56r³/12.56

86.226 = r³

find the cubic root of both sides

r = ∛86.226

r = 4.417

therefore the radius of the sphere is evaluated to be 4.417

7 0

3 years ago

Suzette deposited $800 into a bank account earning simple interest of 2.5% each year. After 5 years, how much interest had her a

Blababa [14]

Answer:

$\boxed {\boxed {\sf \$ 100.00}}$

Step-by-step explanation:

The formula for simple interest is

$I=prt$

where p is the principal, r is the rate, and t is the time.

The principal, or initial amount is $800 and the time is 5 years The interest rate is 2.5%, but we must convert to a decimal.

Divide by 100 or move the decimal place two spots to the left.

2.5/100=0.025 or 2.5 ⇒ 0.25 ⇒ 0.025

Substitute the known values into the formula.

$p= 800 \\r= 0.025 \\t= 5$

$I= (800)(0.025)(5)$

Multiply.

$I=20(5)\\I=100$

After 5 years, Suzette's account has earned $100.00

8 0

3 years ago

Brian invests £4000 into his bank account.

GuDViN [60]

Answer:

10.24 years

Step-by-step explanation:

The computation of the time period is as follows:

As we know that

Amount = Principal × (1 + rate of interest)^time period

£8000 = £4000 × (1 + 0.07)^time period

£8,000 ÷ £4,000 = 1.07^time period

2 = 1.07^time period

Now apply the log to the both sides

log 2 ÷ log 1.07 = time period

= 10.24 years

7 0

3 years ago

The height in feet above the water of a diver can be modeled by ℎ() = −16*2 − 16 + 192, where t is the time in seconds after the

Maurinko [17]

h(t) is the height of the diver in feet above the water

Now it asks about the time at which diver reaches the water

When diver reaches the water , the height of diver from water should be zero

So we plug h(t) =0

So

$-16t^2 -16 t +192 =0$

divide whole equation by -16

$t^2 +t -12 =0$

we can now factor the quadratic equation

So we get

(t+4)(t-3) =0

plug each factor equal to zero and solve for t

t+4 =0 and t-3 =0

So t=-4 and t=3

Now time cannot be negative , So t=3

So time = 3 seconds

It takes 3 seconds for the diver to reach the water

3 0

4 years ago

What is the y value in the solution to this system of linear equations?

Travka [436]

Answer:

The y-value is -20

Step-by-step explanation:

So let's solve this by Elimination method;

-2(4x + 5y = -12)

4(2x + 3y = -16)

Let's Distribute;

-8x - 10y = 24

8x + 12y = -64

So x cancels out because -8 + 8 = 0

-10y + 12y = 2y

24 - 64 = -40

2y = -40

Divide both sides by 2;

y = -20

Now lets plug in y to find the value of x;

4x + 5(-20) = -12

4x - 100 = -12

Add 100 to both sides;

4x = 88

Divide both sides by 4;

x = 22

8 0

3 years ago