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jeka94
3 years ago
15

What other compatible numbers could you use for 428 and 286

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
How about raising 286 up by 14 to 300 and compensating by lowering 428 by the same 14 Since I know that 14 + 14 is 28  then 28-14 is 14
So 428 - 14 = 414
So now I have 414 + 300 which I can do mentally - the answer is 714 and is also the answer to the original problem 428 + 286

Compensation works very well - bring one number up or down to a rounded number and compensate by doing the opposite to the other  - instead of 199 + 457 - try 200 + 456
Same answer and because one of the numbers is nicely rounded, it is easy to add the other. 

One more:  207 + 182  becomes 200 + 189 =389   I lowered one by 7 and raised the other one by the same 7.

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11. Mr Lee bought a second hand car for
Marrrta [24]

Answer :

Depends on the rate compound interest is accrued. See answers.

Step-by-step explanation:

We need the compound interest formula which is:

A = P (1+\frac{r}{n} )^{nt}

A =  final amount

P =  initial principal balance

r =  interest rate

n =  number of times interest applied per time period

t =  number of time periods elapsed

It doesn't say how frequently the interest is compounded, so we will do monthly, quarterly, and yearly.

MONTHLY

So we know the car costs $25,480 and he made a down payment of $10,000. By subtracting the down payment from the purchase price we find the loan amount.

$25,480 - $10,000 = $15,480

P = 15,480

r = 4.75% = .0475

n = 12  (12 months in a year)

t = 2  

Plug everything into the compound interest formula.

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{12})^{12*2}

A = 15480(1+\frac{.0475}{12})^{24}

A = 15480(1+.00396)^{24}

A = 15480(1.00396)^{24}

A = 15480*1.0992

A = $17016.14

Mr. Lee paid $17,016.14 when the bill came due at 2 years with interest compounded monthly.

QUARTERLY

P = 15,480

r = 4.75% = .0475

n = 4  (4 quarters in a year)

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{4})^{4*2}

A = 15480(1+\frac{.0475}{4})^{8}

A = 15480(1+.0119})^{8}

A = 15480(1.0119)^{8}

A = 15480*1.099

A = 15480(1.099)

A = 17013.20

Mr. Lee paid $17,013.20 when the bill came due at 2 years with interest compounded quarterly.

YEARLY

P = 15,480

r = 4.75% = .0475

n = 1  

t = 2  

A = P (1+\frac{r}{n} )^{nt}

A = 15480(1+\frac{.0475}{1})^{1*2}

A = 15480(1+\frac{.0475}{12})^{2}

A = 15480(1+.0475})^{2}

A = 15480(1.0475)^{2}

A = 15480*1.0973

A = 16985.53

Mr. Lee paid $16,985.53  when the bill came due at 2 years with interest compounded yearly.

4 0
3 years ago
10 POINTS (PLEASE PLEASE I BEG YOU HELP ME)
yulyashka [42]

Answer:

give me points an d i will give u points

Step-by-step explanation: yufikdx

8 0
3 years ago
Read 2 more answers
Please help Determine whether y varies directly with x. If so, find the constant of variation k and write the equation.
dsp73
The linear equation:
y = k x + b
We will use first two values and solve the system of equations:
11 = k * 7 + b   / *(-1)
13 = k * 8 + b
 ---------------------
 -11 = - k * 7 - b
  13 =   k * 8 + b
----------------------
   2 = k       
   13 = 16 + b 
    b = 13 - 16 = -3
   y = 2 x - 3 ( y varies directly with x )
7 0
3 years ago
Read 2 more answers
A parking space is 20 feet long. A pickup truck is 6 yards long. How many inches longer is the parking space than the truck
masya89 [10]

1 yard = 3 feet.

Multiply the length of the truck by 3 to get total feet:

6 x 3 = 18 feet.

Subtract the length of the truck from the length of the parking space:

20 - 18 = 2 feet

1 foot = 12 inches.

Multiply 2 feet by 12:

2 x 12 = 24 inches longer.

7 0
3 years ago
Suppose you have $30 to spend on bags of tootsie rolls that are worth $3 and bags of lollipops worth $5. If you have to use all
uysha [10]

Answer:

you could get 5 bags of tootsie rolls and 3 bags of lollipops.

Step-by-step explanation:

3+3+3+3=12+5+5=22+5=27+3=30

7 0
3 years ago
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