A group of students is arranging squares into layers to create a project. The first layer has 4 squares. The second layer has 8 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

Answers

Answer 1

Answer:

Answer:

answer is d

Step-by-step explanation:

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Miles and Nick each separately apply for and receive loans worth $5,000 apiece. Miles has a very good credit score, so his loan has an APR of 7.75%, compounded monthly. Nick’s credit score is rather low, so his loan has an APR of 13.10% interest, compounded monthly. If both of them repay their loans over a four year period, making equal monthly payments based on their own loan, how much more will Nick have paid than Miles? (Round all dollar values to the nearest cent.) a.$619.68 b.$267.50 c.$1,609.57 d.$1,070.00

Answers

Answer:

Ans. Nick paid $619.68 more than Miles (exactly $619.54). So the answer is A)

Step-by-step explanation:

Hi, first we need to find the equal monthly payments for both, Miles and Nick, for that, we need to find the effective monthly rate (because the payments are going to be made monthly), also, we need to convert that 4 year period into months. After doing all that, we need to use the following equation and solve for "A".

$Present Value=(A((1+r)^(n) -1))/(r(1+r)^(n) )$

Where:

A= monthly payments

r= rate of interest (for Miles is 0.075/12=0.006458 and Nick 0.131/12=0.010916)

n= number of periodic payments (both are 4*12=48 months)

First, let´s find out how much money Miles has to pay every month.

$5,000=(A((1+0.00645833)^(48) -1))/(0.00645833(1+0.00645833)^(48) )$

$5,000=A(41.1594758)$

$A=121.48$

So, Miles has to pay $121.48 every month, for 48 months, that is a total of $5,830.98 (121.48*48=5,830.98)

Now, let´s do Nick

$5,000=(A((1+0.01091667)^(48) -1))/(0.01091667(1+0.01091667)^(48) )$

$5,000=A(37.2063189)$

$A=134.39$

So, Nick has to pay $134.39 every month, for 48 months, that is a total of $6,450.52 (134.39*48=6,450.52)

The difference is 6,450.52- 5,830.98=619.54

Means that Nick has to pay $619.54 more than Miles. To your answers, the closest is A) $619.68.

Best of luck

Miles:7.75% (0.0775) x 5,000 = $387.5 x 4 = $1550 (over four year period)Nick:13.10% (0.131) x 5,000 = $655 x 4 = $2620$2620 - $1550 = $1,070 (rounded to nearest cent)So the answer is D.

If sin α=(12/13), and cos α=(5/13), then tan α = ?

Answers

sin α = 12/13 opposite/hypothenue
cos α = 5/13 adjacent/hypothenue
tan α = 12/5 opposite/adjacent

∆STV ~ ∆PQR. Find m∠P.129

9

86

6

Answers

Answer: $86^(\circ)$

Step-by-step explanation:

Given : $\triangle{STV}\sim\triangle{PQR}$

We know that the corresponding angles of two similar triangles are congruent.

i.e. $\angle{S}\cong\angle{P}$ (1)

$\angle{T}\cong\angle{Q}$

$\angle{V}\cong\angle{R}$

From the given picture , we have $\angle{S}=86^(\circ)$

Then from (1), $\angle{P}=86^(\circ)$

Hence, $\angle{P}=86^(\circ)$

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

Find the slope of each line.

Answers

The slope is 4/3.
I hope this helps :)

A young sumo wrestler decided to go on a diet yo go on a special high protein diet to gain weight rapidly.he started at 90 kilograms and gained weight at a constant rate.after 8 months ,he weighed 138 kilograms

Answers

From the information given, the mathematical equation (or slope formula) for this situation is given as: y=6x+90

What is the explanation for the above answer?

It is important to state that points of the slope are: (0,90). This is so as the Y intercept is taken as the Sumos weight.

Given that after 8 months, the sumo wrestler weighed 138kg

Hence, (138/90 - 8/0, with the 138 and 8 being the numerator)

= 48/8

= 6

Given that the slope = 6); and

the y intercept = 90

Hence, the slope intercept equation y = 6x+90

Learn more about slopes at;
brainly.com/question/3493733
#SPJ6

Answer:

y=6x+90

Step-by-step explanation:

y=6x+90

use the slope formula with the points (0,90) because this is the y intercept, the sumos weight

after 8 months, the sumo restler weighed 138 (8,138)

solve that with the slope formula (138/90 - 8/0, with the 138 and 8 being the numerator)

then, you get 48/8

thus, 6, like the answer above me said.

however, the answer is incomplete as it asks for it in the equation form

thus since we know the slope (6) and the y intercept (90), format in slope intercept form- = y=6x+90

hope this helps!

Y = –2r +4 complete the missing value in the solution to the equation
(_,-2)

Answers

Answer:

(3, -2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x, y) (__,-2)

-2 = -2r + 4

-2-4 = -2r

-6 = -2r

divide -2r on both sides

r=3 ---> x=3

(3,-2)

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