Determine the principal P that must be invested at rate r = 7%, compounded monthly, so that $500,000 will be available for retirement in t = 19 years. (Round your answer to the nearest cent.)P = $  

Answers

Answer 1
Answer: 19 years = 228 months
if i si the rate per month (1+i)^12 = 1,07 => 1 + i = 12√1,07 = 1,00565 
500 000 = (1,00565)^(228).x => x = 500 000/3,616 = $138 254,16

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A school librarian can buy books at a 20% discount from the list price. One month she spent $72 for books. What was the list price value of the books? Is the answer $90?

Answers

Answer:

\boxed{\sf \ \ YES \ \ }

Step-by-step explanation:

Hello

let's say that the price of the book was x

the price after a 20% discount is x - 20%*x = x*(1-20%)=x*(1-.20)=0.8*x

and this is $72 so we can write that

0.8*x=72

and then divide by 0.8 both parts

x = 72/0.8=90

So the list price value of the book is $90

and we can verify as 90 - 20%*90 = 90 - 18 = 72

Hope this helps

Danny charges $35 for 3 hours of swimming lessons.Martin charges $24 for 2 hours of swimming lessons. Who offers a better deal?

Answers

Answer:

Danny offers better deal .

Step-by-step explanation:

As given

Danny charges $35 for 3 hours of swimming lessons.

Cost\ of\ one\ hour = (Total\ cost)/(Total\ hours)

Cost\ of\ one\ hour = (35)/(3)

Cost of one hour = $ 11.67 (Approx)

Martin charges $24 for 2 hours of swimming lessons.

Cost\ of\ one\ hour = (Total\ cost)/(Total\ hours)

Cost\ of\ one\ hour = (24)/(2)

Cost of one hour = $ 12

As the cost charge by Danny for one hour is less as cost charge by Martin .

Therefore Danny offers better deal .


Danny charges about 11.67 per hour

Martin charges about 12 per hour

So, Danny offers a better deal.

Please help asap!! Leaf plot

Answers

Hello!

By looking at the key we know that the number are stem . leaf

The stem and leaf plot numbers are

1.1, 1.3, 2.2, 2.6, 2.8,3.1,3.8

So the answer is A

Hope this helps!

5-x< 13
Idk what it si

Answers

Answer:

Step-by-step explanation:

5-x< 13

-5      -5

-x< 8

Answer:

-8

Step-by-step explanation:

5-x<13

-x<13-5

-x<8

-x/-1<8/-1

x<-8

What is 4x+3y=14 2y=6+4x

Answers

4x+3y=14
2y=6+4x
we can isolate the y in the second function
2y=6+4x
/2      /2
y=3+2x
then change all the y to 3+2x in first function
4x+3(3+2x)=14
4x+9+6x=14
10x=5
/10   /10
x=0.5  or 1/2
then fill the x in the function, get y.(each function will work)
2y=6+4x
2y=6+4(1/2)
2y=6+2
2y=8
y=4
x=0.5    y=4

One hundred is multiplied by a number between 0 and 1. the answer has to be ?

Answers

100 * 0.5 = 50
0.5 is between 0 and 1