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2 years ago

4)

Mathematics

1 answer:

Gnesinka [82]2 years ago

8 0

Answer:

a is 25 b is 15 percent

Step-by-step explanation:

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Angie mixes 7 2/3 pints fruit juice and 3 1/4 pint sprite to make punch far a party. she has 6 pints left at the end of the part

lana66690 [7]

Answer:

16 11/12

Step-by-step explanation:

7 2/3 + 3 1/4 =

7 8/12 + 3 3/12 =

10 11/12 + 6

16 11/12

5 0

2 years ago

Draw 2 supplementary angles. One angle is x-15 degrees and one is 2x degrees. What is the value of x in degrees?

Bond [772]

Answer:

Step-by-step explanation:

Since they are supplementary, it means the addition of both angles gives 180 degree.

$x - 15 + 2x = 180\\3x = 180 + 15\\3x = 195\\x = \frac{195}{3} \\x = 65$

4 0

3 years ago

Three consecutive integers whose sum is -147

suter [353]

Step-by-step explanation:

Let the first integer be x

2nd integer = x + 1

3rd integer = x + 2

x + x + 1 + x + 2 = -147

3x + 3 = -147

3x = -147 - 3

3x = -150

x = -150 ÷ 3

x = -50

The three consecutive integers are

-50, -49, -48

5 0

3 years ago

How do I solve this problem

guapka [62]

You first subtract 1/5 from both sides
3/4-1/5 = 11/20
3/2x=11/20

now you multiply 2/3 on both sides since you have to get x

11/20 * 2/3
x = 11/30

3 0

3 years ago

Find the value of annuity if the periodic deposit is $250 at 5% compounded quarterly for 10 years

mylen [45]

Answer:

The value of annuity is $P_v = \$ 7929.9$

Step-by-step explanation:

From the question we are told that

The periodic payment is $P = \$ 250$

The interest rate is $r = 5\% = 0.05$

Frequency at which it occurs in a year is n = 4 (quarterly )

The number of years is $t = 10 \ years$

The value of the annuity is mathematically represented as

$P_v = P * [1 - (1 + \frac{r}{n} )^{-t * n} ] * [\frac{(1 + \frac{r}{n} )}{ \frac{r}{n} } ]$ (reference EDUCBA website)

substituting values

$P_v = 250 * [1 - (1 + \frac{0.05}{4} )^{-10 * 4} ] * [\frac{(1 + \frac{0.05}{4} )}{ \frac{0.08}{4} } ]$

$P_v = 250 * [1 - (1.0125 )^{-40} ] * [\frac{(1.0125 )}{0.0125} ]$

$P_v = 250 * [0.3916 ] * [\frac{(1.0125)}{0.0125} ]$

$P_v = \$ 7929.9$

8 0

3 years ago