David uses 2/3 yard of cloth to make a bag .which amounts are equivalent to 2/3 yard

Patty spent 3 1/2 times as much as Sandy. if sandy spent $20.50, how much did patty spend

katrin2010 [14]

12.6$Answer:

Step-by-step explanation:

1$ - 20$ = 19$ / 3 = 6.3$

6.3$ x 2 = 12.6$

6 0

3 years ago

Suppose you invest $2000 at annual interest rate of 4.5 % How much money do you have in the account after five years?

nataly862011 [7]

Answer:

Please check the explanation.

Step-by-step explanation:

To find the amount we use the formula:

$A=P\cdot \left(1+\frac{r}{n}\right)^{nt}$

Here:

A = total amount

P = principal or amount of money deposited,

r = annual interest rate

n = number of times compounded per year

t = time in years

Given

P=$2000

r=4.5%

n=4

t = 5 years

Calculating compounded quarterly 

After plugging in the values

$A=2000\left(1+\frac{4.5\%\:}{4}\right)^{4\cdot \:5}$

$A=2000\left(1+\frac{0.045}{4}\right)^{4\cdot \:5}$

$A=2000\cdot \frac{4.045^{20}}{4^{20}}$

$A=\frac{125\cdot \:4.045^{20}}{2^{36}}$

$A = 2,501.50$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded quarterly, you will have $2501.50 after five years.

Calculating compounded semi-annually

n = 2

$A=2000\left(1+\frac{4.5\%\:}{2}\right)^{2\cdot \:5}$

$A=2000\left(1+\frac{0.045}{2}\right)^{2\cdot \:5}$

$A=2000\cdot \frac{2.045^{10}}{2^{10}}$

$A = 2,498.41$

Thus, If you deposit $2000 into an account paying 4.5% annual interest compounded semi-annually, you will have $2,498.41 after five years.

5 0

3 years ago

Hwlsibdsja aka sus ejsnahabah HELP

Arada [10]

Answer:

y = cos(x) -1

Step-by-step explanation:

The function has a maximum at x=0, a peak-to-peak amplitude of 2, and a period of 2π. It matches a cosine function that has been shifted down 1 unit.

y = cos(x) -1

4 0

3 years ago

450 is shared between two workers John and Andrew if John gets 50 more than Andrew how much does John get

NemiM [27]

450 divided by 2 is 225. 225-50=175. 225+50=275

John has 275 and Andrew has 175.

In order to get this answer, first you divide the whole number by 2. Then you get the number 225. You then have to subtract 50 from 225 because John gets 50 more than Andrew. Then for John, you have to add 50 to 225. To self-check the answer, here is the formula: 175+275=450. Remember that on these kind of word problems, you first divide the whole. Then subtract and add the number that one person gets more than the other person.

3 0

3 years ago

9. Select the proper inverse operation to check the answer to 14 + 17 = 31.

lana66690 [7]

I think the answer is A

8 0

3 years ago