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2 years ago

Emily would like to buy some new

Mathematics

1 answer:

bonufazy [111]2 years ago

6 0

Answer:

$14,277.80

Step-by-step explanation:

The standard formula for compound interest is given as;

A = P(1+r/n)^(nt) .....1

Where;

A = final amount/value

P = initial amount/value (principal)

r = rate yearly

n = number of times compounded yearly.

t = time of investment in years

For this case;

P = $7,400

t = 8 years

n = 4 (quarterly)

r = 9.5% = 0.095

Using equation 1.

A = $7,400(1+0.095/4)^(4×7)

A = $7,400(1.02375)^(28)

A = $7,400(1.929432606035)

A = $14,277.80

final amount/value after 8 years A =$14,277.80

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what is the equation for “the product of a number and 3 is 5 less than the quotient of a number and 4

marishachu [46]

Equation 1.
20÷4=5
0×3=0
5-5=0
Equation 2.
44÷4=11
2×3=6
11-5=6
Equation 3.
56÷4=14
3×3=9
14-5=9

5 0

3 years ago

A sales analyst listed the probabilities of profits and losses in dollars for a certain company. Find the mean for the probabili

kakasveta [241]

Answer: The mean for the probability distribution will be 69.25.

Explanation:

Since we given that

$At\ x_1= -500 ,P(x) = 0.076\\$

$At\ x_2= -250,P(x)= 0.191\\$

$At\ x_3=0, P(x)= 0.265\\$

$At\ x_4=250 , P(x)= 0.316\\$

$At\ x_5=500 , P(x)= 0.152\\$

As we know the formula for expectation of x i.e. known as mean for the probability distribution,

$E(x)=x\sum_{1}^{5} P(x)$

So, we apply this formula in our case,

$-500\times 0.076+(-250)\times 0.191+0\times 0.265+250\times 0.316+500\times 0.512=69.25$

$\mu = 69.25$

Hence, the mean for the probability distribution will be 69.25.

4 0

3 years ago

Read 2 more answers

What is mean of 8,3,3,7 and 4

Marina86 [1]

The mean is the average of the numbers. To obtain it, you add all the numbers together and divide by the number of numbers. So:

8+3+3+7+4= 25

25:5= 5

So the answer is: the mean is 5.

3 0

3 years ago

Which of the following is a proportion?

poizon [28]

Answer:

Option C, 14/21=9/21 is the proportion.

Step-by-step explanation:

Given:

a.5/7 = 10/12

b.9/15 = 12/18

c.4/6 = 8/12

d.14/21 = 9/12

We have to find the proportions.

In proportion two ratios are equal, as it has an equality sign in between so both side must be of same ratio in its simplest form.

Let's work with option C

⇒ $\frac{4}{6}=\frac{8}{12}$

To find the simplest form we have to divide the numerator and denominator with same digit (or its factor).

Simplest form of $\frac{8/2}{12/2}$ = $\frac{4}{6}$ , $\frac{4/2}{6/2}$ = $\frac{2}{3}$

Simplest form of $\frac{4}{6}$ = $\frac{2}{3}$

Both sides in option C have equal ratios of 2/3.

So 4/6=8/12 is in proportion.

6 0

3 years ago

-5(-3x+10)=30 what is x

Feliz [49]

Answer:

5.33333333...

Step-by-step explanation:

it will be like -5 out the bracket x - 3 x which gives you 15 then we'll check again - 5 then you times it by there 10 in the bracket and then it gives you 50 and then it will be there in 15 x - 50 equals to 30 then you take the -50 to the other side where there is 30

then it will be 15 x equals to 30 + 50 and then then 15 x equals to 8 and then you divide both of the sides with 15 then get your answer

-5 (-3x+10)=30

15x-50=30

15x=30+50

15x/15=80/15

x=5.33333...

3 0

2 years ago