There are 36 students in Miss

Jane has $5 more than three times as much money as Lonnie has.Bob has $1 less than four times as much money as Lonnie has. All t

kkurt [141]

Starting equation:
92=J+L+B

To find how much money Jane has, we use the equation:
J=5+3L
To find how much money Bob has, we use the equation:
B=4L-1

Enter those equations in the problem

92=(5+3L)+L+(4L-1)
Combine like terms
92=4+8L
Subtract 4 to isolate variable
88=8L
Divide by 8 to isolate variable
11=L

Answer:
Lonnie has $11
Jane has $38
Bob has $43

side note: Lonnie is that one poor friend we all have

5 0

2 years ago

You purchase a car worth $25077 and make a down payment of $3560. You intend to repay the balance of the car with month end car

zubka84 [21]

Answer:

value of buyout is $4185.74

Step-by-step explanation:

given data

car worth = $25077

down payment = $3560

monthly payment = $336 = 336 × 6 = $2016 per semi annually

time = 5 year = 10 half yearly

rate = 4.04 %

to find out

value of final buyout

solution

we know here loan amount will be 25077 - 3560 = $21517

and we find present value first by formula that is

present value = $\frac{amount(1+r)^t - 1}{r (1+r)^t}$

put here t = 10 and r = $\frac{4.04}{200}$

so

present value = $\frac{2016(1+\frac{4.04}{200})^10 - 1}{r (1+\frac{4.04}{200})^10}$

present value = 18089.96

so

loan unpaid amount is here

loan unpaid amount = 21517 - 18089.96

loan unpaid amount = $3427.04

so

now we calculate value of buyout

that is express as

amount = principal × $(1+r)^{t}$

amount = 3427.04 × $(1+\frac{4.04}{200})^{10}$

amount = 4185.74

so value of buyout is $4185.74

7 0

3 years ago

Angle P measures 112 degrees, what are the measures of angle N and O?

Oxana [17]

The inside angles of a triangle need to equal 180 degrees
in this triangle the lines NP and OP are identical so the 2 unknown angles would be equal
so the 2 unknown angles would be 180 - 112 = 68 / 2 = 34 each
angle N & O are 34 degrees

7 0

3 years ago

What are the terms in 4(2x + 3) ÷ 5y

puteri [66]

Answer:

downlaod photo math, take a pic of the question and boom. theres your answer

6 0

2 years ago

Many consumer groups feel that the U.S. Food and Drug Administration (FDA) drug approval process is too easy and, as a result, t

Zigmanuir [339]

Answer:

If we reject the null hypothesis based on the evidence, then our conclusion should be Option c.

If we do not reject the null hypothesis based on the evidence, then our conclusion should be Option a.

Step-by-step explanation:

We are given that the FDA wants to set up a hypothesis test to show that the new drug is safe before approving it by assuming it to be unsafe.

So, Null hypothesis, $H_0$ = New drug is unsafe

Alternate Hypothesis, $H_1$ = New drug is safe

<em>Now, if we reject the null hypothesis based on the evidence, then our conclusion should be that : </em>

There is sufficient evidence to believe that the new drug is safe because rejecting null hypothesis means that alternate hypothesis is accepted with required evidence.

<em>And If we do not reject the null hypothesis based on the evidence, then our conclusion should be that : </em>

There is insufficient evidence to believe that the new drug is safe because not rejecting null hypothesis means that we are not ready with enough evidence to assume that new drug is safe.

5 0

3 years ago