Help me please

Gary has decided to buy a new flat screen TV system for $4,700 and agreed to make monthly payments
for three years at 7% compounded monthly. How much is each payment? How much will he pay in
cumulative interest?

each monthly payment is $145.3

Cumulative interest paid is $530.8

Step-by-step explanation:

We would apply the periodic interest rate formula which is expressed as

P = a/[{(1+r)^n]-1}/{r(1+r)^n}]

Where

P represents the monthly payments.

a represents the amount of the television.

r represents the annual rate.

n represents number of monthly payments. Therefore

a = $4700

r = 0.07/12 = 0.0058

n = 12 × 3 = 36

Therefore,

P = 4700/[{(1+0.0058)^36]-1}/{0.0058(1+0.0058)^36}]

4700/[{(1.0058)^36]-1}/{0.0058(1.0058)^36}]

P = 4700/{1.23 -1}/[0.0058(1.23)]

P = 4700/(0.23/0.007134)

P = 4700/32.34

P = 145.3

The total amount paid in 3 years is

145.3 × 36 = $5230.8

Cumulative interest paid is

5230.8 - 4700 = $530.8

the ratio of white tiles to blue tiles is 48: 16. the ratio in it's simplest form is 3: 1.

step-by-step explanation:

ratio: take the first number and add a colon next to it, then add the second number after that. make sure the ratio order matches up with the written problem!

simplest form: we can simplify the ratio 48 : 16 by dividing both terms by the greatest common factor (gcf).

the gcf of 48 and 16 is 16.

divide both terms by 16:

48 ÷ 16 = 3

16 ÷ 16 = 1

reducing to simplest form:

48 : 16 = 3 : 1