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3 years ago

Find the value of x.

1 answer:

8 0

The answer to the problem is 9.

<span>It is because the midsegment is half the parallel side's length.

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Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest after one year his total inte

Len [333]

Answer: ken invested $3500 in the 8% account.

Step-by-step explanation:

Let x represent the amount invested in the account earning 8% interest.

Let y represent the amount invested in the account earning 12% interest.

Ken invests 6,000 into two accounts one account earns 8% interest and the other earns 12% interest. This means that

x + y = 6000

The formula for simple interest is expressed as

I = PRT/100

Where

P represents the principal

R represents interest rate

T represents time in years

I = interest after t years

Considering the account earning 8%

I = (x × 8 × 1)/100 = 0.08x

Considering the account earning 12%

I = (y × 12 × 1)/100 = 0.12y

After one year, his total interest earned from the two accounts totaled $580 . This means that

0.08x + 0.12y = 580 - - - - - - - - - - 1

Substituting x = 6000 - y into equation 1, it becomes

0.08(6000 - y) + 0.12y = 580

480 - 0.08y + 0.12y = 580

- 0.08y + 0.12y = 580 - 480

0.04y = 100

y = 100/0.04

y = 2500

x = 6000 - y = 6000 - 2500

x = 3500

7 0

3 years ago

The function y = 3.75 + 2.50(x - 3) can be used to determine the cost in dollars for a uber ride of x miles. What is the rate of

Lina20 [59]

The rate of change in an equation can usually be found with what number is being multiplied with X or whatever variable you have. So in this equation it shows that a ride's cost goes up the more miles (X) you need to go, the number being multiplied would be 2.50 so for each mile you need to go it increases by $2.50. There is a small note though, since you need to subtract 3 from whatever your X is, that means that there is a minimum of 3 miles you need to go for an uber ride to be valid. Regardless, the rate does not change, just has a different minimum.
So the rate of change would be $2.50 per mile

7 0

3 years ago

Jenna calculated several numbers in her calculator. The result displayed -1.7E-4 on the calculator screen. Which equivalent numb

Alexeev081 [22]

I think it's
-0.00017 and -1.7 x 10-4

i hope this helps :)

3 0

3 years ago

Read 2 more answers

The numbers on two consecutively numbered gym lockers have a sum of 151. What are the locker numbers?

valina [46]

75 and 76. Hope this helps ;)

4 0

4 years ago

The average weight of a package of rolled oats is supposed to be at least 18 ounces. A sample of 18 packages shows a mean of 17.

Rom4ik [11]

Answer:

Step-by-step explanation:

The average weight of a package of rolled oats is supposed to be at least 18 ounces

Null hypothesis: u >= 18

Alternative: u < 18

Using the t-test formula, we have

t = x-u/ (sd/√n)

Where x is 17.78, u = 18, sd = 0.41 and n = 18

t = 17.78-18 / (0.41/√18)

t = -0.22 / (0.41/4.2426)

t = -0.22/ 0.0966

t = -2.277

Since, this is a left tailed test, at a significance level of 0.05, the p value is 0.01139. Since the p value is less than 0.05, we will reject the null hypothesis and conclusion that the true mean smaller than the actual specification.

6 0

3 years ago