Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

Answer:

5 mugs

Step-by-step explanation:

1/2 converted into 10ths would be 5/10 ... meaning 5 mugs

Answer:

Margin of Error = 5.4088 ;

Confidence interval = (30.1 ; 40.9)

Interval estimate are almost the same

Step-by-step explanation:

Given that :

Population standard deviation, σ = 9.3

Sample size, n = 8

Xbar = 35.5

Confidence level = 90%

The confidence interval:

Xbar ± Margin of error

Margin of Error = Zcritical * σ/sqrt(n)

Zcritical at 90% = 1.645

Margin of Error = 1.645 * 9.3/sqrt(8) = 5.4088

Confidence interval :

Xbar ± Margin of error

35.5 ± 5.4088

Lower boundary = (35.5 - 5.4088) = 30.0912 = 30.1

Upper boundary = (35.5 + 5.4088) = 40.9088 = 40.9

(30.1 ; 40.9)

T distribution =. (30.5 ; 40.5)

Normal distribution = (30.1, 40.9)

Answer:

It's either C or D, I'm thinking C, but I don't know for sure. Sorry for the delay

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

[tex]x^2 +4x +3[/tex]

Can be represented as the product of the following,

[tex](x+3)(x+1)[/tex]

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

[tex](x+3)(x+1)\\[/tex]

Distribute,

[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]

Simplify,

[tex]x^2 +x +3x + 3\\[/tex]

[tex]x^2 +4x +3[/tex]

Answer:

C

Step-by-step explanation:

-×/6>_3

-x>_3×6

-x>_18

x<_-18

Answer:

The original cost of the pizza before the discount coupon and the tax was $49.28.

Step-by-step explanation:

Given that Heather paid $ 37.50 for a pizza to be delivered to her house, and she had a coupon for 30% off and there is a tax of 8%, to determine what was the total cost of the pizza to be delivered, the following calculation has to be done:

100 - 8 = 92

100 = 37.50

92 = X

92 x 37.50 / 100 = X

34.50 = X

100 - 30 = 70

70 = 34.50

100 = X

100 x 34.50 / 70 = X

49.28 = X

Thus, the original cost of the pizza before the discount coupon and the tax was $ 49.28.

Answer:

4(2 on top) + 3(2 on top) + 2(2 on top)

Step-by-step explanation:

Answer:

f(f(x)) = x⁴ + 2x² + 2

Step-by-step explanation:

if f(x) = x² + 1, then f(f(x)) is equal to:

f(x)² + 1

= (x² + 1)² + 1

= x⁴ + 2x² + 1 + 1

= x⁴ + 2x² + 2

Answer:

27gallons

Step-by-step explanation:

First we need to convert 16pints to gallons

Since;

1 pint = 0.125gallons

16 pints = x

Cross multiply

1 * x = 16 * 0.125

x = 2gallons

Since Holbrooks ordered 25 gallons of orange juice and 16 pints of cranberry juice for their resturant, the total juice he has is 25gallons + 2 gallons = 27gallons

Answer:

x is 10

Step-by-step explanation:

draw a line AD to make triangle ABD (which will be a right triangle)

use Pythagorean theorem to find the length of AD

[tex]a^{2} +b^{2} =c^{2} \\6^{2} +8^{2} =c^{2} \\36+64=c^{2} \\100=c^{2} \\10=c[/tex]

Side AD is a radius of the circle, x is also a radius, so they are equal so x is 10

Answer:

It's so sad no one answered saying that they do.

Step-by-step explanation:

Answer:

The answer is 132 feet

Step-by-step explanation:

That's the diameter.

C = pi * d

C = 3.14 * 42

C = 131.88

Thar rounds to 132 feet.

Step-by-step explanation:

[tex]\tt{}4 \frac{2}{5} + k = - 3 \frac{2}{11} [/tex]

[tex]\tt{} \frac{22}{5} + k = - \frac{35}{11} [/tex]

[tex]\tt{}k = \frac{35}{11} - \frac{22}{5} [/tex]

[tex]\tt{}k = - \frac{417}{55} [/tex]

[tex]\tt{}k = - 7 \frac{32}{55} [/tex]

Answer:

2923.34

Step-by-step explanation:

π×r²×h

3.14 ×7 ²×19 2923.34

2923.34

Step-by-step explanation:

the formula for the volume of a cylinder is V = 3.14 × radius squared × h. So 3.14 × 49 × 19 which equals 2924.82

Answer:

(2;-2)

Step-by-step explanation:

for more details see the attached picture.

Answer:

Step-by-step explanation:

y = a(x-h)² + k, where (h,k) is the vertex.

vertex is clearly (0,0), so y = ax².

Plug in (3,3)  and solve for a:

3 = a3²

a = ⅓

y = ⅓x²

Answer:

Yes??

Step-by-step explanation:

7+3x5+3x+1

7+15+3x+1

22+3x+1

3x+23

7+5x+10

5x+17

Yes, much difference

---

hope it helps

sorry if i'm wrong, sum of the x's confused me

Answer:D

Step-by-step explanation:

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x=[tex]\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}[/tex]

x=[tex]\frac{-4(+/-)\sqrt{176} }{2}[/tex]

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

Answer:

To evaluate a variable expression means to find the value of the expression for given values of the variables. To evaluate, substitute the given values for the variables in the expression and simplify using the order of operations (PEMDAS)

Answer:

10 units squared

Step-by-step explanation:

[tex]4(5)=20[/tex]

[tex]\frac{20}{2}=10[/tex]

Answer:

$22.5.

Step-by-step explanation:

The total revenue that is gained from the sales of the cakes is determined by multiplying the number of cakes by the price. If we let x be the number of $1 that should be deducted from the price and y be the total revenue,

                              y = (25 - x)(100 + 5x)

Simplifying,

                             y = 2500 + 25x - 5x²

We get the value of x that will give us the maximum revenue by differentiating the equation and equating the differential to zero.

                            dy/dx = 0 = 25 - 10x

☁️ Answer ☁️

Find out who owns any 808-589 phone number. Get name, address, relatives, court records for the registered owner. (Nah jk)

The answer is:

219

Explanation: I used my eyes, fingers, and a calculator.

Hope it helps.

Have a nice day noona/hyung

Answer:

m<P = 48°

m<Q = 132°

Step-by-step explanation:

Given:

m<S = (14x + 6)°

m<R = (5x + 3)°

Required:

m<P, m<Q

Solution:

✔️First, find the value of x

m<S + m<R = 180° (consecutive angles are supplementary)

14x + 6 + 5x + 3 = 180 (substitution)

Collect like terms

19x + 9 = 180

19x = 180 - 9

19x = 171

x = 171/19

x = 9

✔️m<P = m<R (opposite angles are congruent)

m<P = (5x + 3)° (substitution)

Plug in the value of x

m<P = 5*9 + 3

m<P = 48°

✔️m<Q = m<S (opposite angels are congruent)

m<Q = (14x + 6)°

Plug in the value of x

m<Q = 14*9 + 6

m<Q = 132°

Answer: question 9 COULD be 240 and 12. might be 2880

Step-by-step explanation: