Dalton is playing a game in which the object is to obtain a 0 by adding the points scored during each round

Mathematics

1 answer:

Katen [24]2 years ago

3 0

The answer to this question is 52

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What is the mean of the following set of numbers? 32, 31, 37, 44 a. 13 b. 34 c. 36

ELEN [110]

Mean is average

so we have 4 numbers
sum them then divide by 4

(32+31+37+44)=144
divide by 4
144/4=36

answer is C

6 0

3 years ago

Complete the solution of the equation. find the value of y when x equals -6. -4x + y = 29

Bingel [31]

Answer:

Step-by-step explanation:

x = -6

-4x + y = 29

substitute x = -6 in -4x + y =29

-4(-6) + y = 29

24 + y = 29

subtract 24 from both sides

24 - 24 + y = 29 - 24

y = 5

6 0

3 years ago

Enos took out a 25-year loan for $135,000 at an APR of 6.0%, compounded monthly, and he is making monthly payments of $869.81. W

Alborosie

Present value = 135000
Monthly interest, i = 0.06/12 = 0.005
Monthly payment, A= 869.81

Future value of loan after 16 years
$F=P(1+i)^n$ [compound interest formula]
$=135000(1+.005)^{16*12}$
$=351736.652$

Future value of payments after 16 years
$\frac{A((1+i)^n-1)}{i}$
$=\frac{869.81((1+0.005)^{16*12}-1)}{0.005}$
$=279287.456$

Balance = future value of loan - future value of payments
=351736.652-279288.456
= $ 72448.20

Note: the exact monthly payment for a 25-year mortgage is
$A=\frac{P(i*(1+i)^n)}{(1+i)^n-1}$
$=\frac{135000(0.005*(1+0.005)^{25*12}}{(1+0.005)^{25*12}-1}$
$=869.806892$

Repeating the previous calculation with this "exact" monthly payment gives
Balance = 72448.197, very close to one of the choices.

So we conclude that the exact value obtained above differs from the answer choices is due to the precision (or lack of it) of the provided data.

The closest choice is therefore <span>$72,449.19</span>

6 0

2 years ago

Read 2 more answers

One number is 5 times another number.their sum is 90.find the numbers.

alexgriva [62]

Step-by-step explanation:

let both unknowns be x and y

x = 5y. ......(1)

x + y = 90. ......(2)

sub eqn (1) into eqn (2)

5y + y = 90

6y = 90