James weight increased in 41 to 45 kilograms. what is the percentage increase?

Answers

Answer 1

Answer: The method of solving any question where you have to find the percentage increase is to
First find the difference by subtracting the increase from the original which in this case is 45-41= 4
Then divide the difference by the original weight
4/41= 0.097
Lastly, multiply the answer to that by 100 to get your answer which is
0.097x 100 =9.7 %

so the answer is that the increase in weight is 9.7%

Answer 2

Answer: 9.7% would be the answer

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What is the vertex form of a parabola with vertex at the origin and the focus at (0,1/8)?

Answers

Hello,

The parabola of vertex (0,0) has like equation y=ax²
F, the focus is (0,1/(4a)).
Here 1/4a=1/8==>a=2

y=2x²

Answer:

f(x)= 2x^2

Step-by-step explanation:

The equatorial diameter of a model of earth is 25.6 cm. What is the total surface area of the model

Answers

Answer:

$2059.7\,\,cm^2$

Step-by-step explanation:

Diameter of a model of earth (D) = 25.6 cm

Radius of a model of earth (r) = $(D)/(2)=(25.6)/(2)=12.8\,\,cm$

Earth has the shape of a sphere.

Total surface area of a sphere = $4\pi r^2$

Put $\pi=(22)/(7)\,,\,r=12.8\,\,cm$

So,

Total surface area of the model $=4((22)/(7))(12.8)^2=2059.7\,\,cm^2$

Audrey is buying a new car for $32,998.00. She plans to make a down payment of $4,200.00. If she's to make monthly payments of $525 for the next five years, what APR has she paid?A. 37%
B. .37%
C. 3%
D. 3.7%

Answers

This question is an annuity problem with cost of the car = $32,998, the present value of the annuity (PV) is given by the difference between the cost of the car and the down payment = $32,998 - $4,200 = $28,798. The monthly payments (P) = $525 and the number of number of years (n) = 5 years and the number of payments in a year (t) is 12 payments (i.e. monthly) The formula for the present value of an annuity is given by PV = (1 - (1 + r/t)^-nt) / (r/t) 28798 = 525(1 - (1 + r/12)^-(5 x 12)) / (r/12) 28798r / 12 = 525(1 - (1 + r/12)^-60) 28798r / (12 x 525) = 1 - (1 + r/12)^-60 2057r / 450 = 1 - (1 + r/12)^-60 Substituting option A (r = 37% = 0.37) 2057r / 450 = 2057(0.37) / 450 = 761.09 / 450 = 1.691 1 - (1 + r/12)^60 = 1 - (1 + 0.37/12)^-60 = 1 - 0.1617 = 0.8383 Therefore, r is not 37% Substituting option D (r = 3.7% = 0.037) 2057r / 450 = 2057(0.037) / 450 = 76.109 / 450 = 0.1691 1 - (1 + r/12)^60 = 1 - (1 + 0.037/12)^-60 = 1 - 0.8313 = 0.1687 Therefore, r is approximately 3.7%

To solve this we are going to use the loan payment formula: $P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

where

$P$ is the amount of the regular payment

$PV$ is the present debt

$r$ is APR in decimal form

$n$ is the number of payments per year

$t$ is the time in years

We know from our problem that Audrey is making a down payment of $4,200.00; since the cost of the car is $32,998.00, the present deb will be the cost of the car minus the down payment, so $PV=32998-4200=28798$ . We also know that she is going to make monthly payments of $525 for the next five years, so $n=12$ and $t=12$ . Let's replace the values in our formula:

$P= ( (r)/(n)(PV))/(1-(1+ (r)/(n))^(-nt) )$

$525= ( (r)/(12)(28798))/(1-(1+ (r)/(12))^(-(12)(5)) )$

We have two ways of finding the APR: we can solve for $r$ in our equation, which is extremely difficult, or we can evaluate the given APRs and check for which one both sides of the equation are almost the same. Since the second is way easier, we are going to use it.

A. 37%

The APR should be in decimal form, so we need to convert it first; to do it we are going to divide the APR by 100%

$r=(37)/(100) =0.37$

Let's replace the ARP in decimal form in our equation

$525= ( (0.37)/(12)(28798))/(1-(1+ (0.37)/(12))^(-(12)(5)) )$

$525=1059.20$

$529\neq 1059.20$

Since 529 is not equal to 1059.20, 37% is not the APR of the loan.

B. .37%

- Convert the APR to decimal form

$r=(0.37)/(100) =0.0037$

- Replace the APR

$525= ( (0.0037)/(12)(28798))/(1-(1+ (0.0037)/(12))^(-(12)(5)) )$

$525=484.49$

Since 525 is not equal to 484.59, .37% is not the APR of the loan.

C. 3%

- Convert the APR to decimal form

$r=(3)/(100) =0.03$

- Replace the APR

$525= ( (0.03)/(12)(28798))/(1-(1+ (0.03)/(12))^(-(12)(5)) )$

$525=517.46$

Since 525 is not equal to 517.46, 3% is not the APR of the loan.

D. 3.7%

- Convert the APR to decimal form

$r=(3.7)/(100) =0.037$

- Replace the APR

$525= ( (0.037)/(12)(28798))/(1-(1+ (0.037)/(12))^(-(12)(5)) )$

$525=526.47$

Since 525 is almost equal to 526.47, 3.7% is the APR of the loan.

We can conclude that the correct answer is D. 3.7%

Helpppppp. (the other one cut out is multiplication property of equality)

Answers

Answer:

The second step is Distributive Property and the third is Subtraction Property of Equality

Step-by-step explanation:

The 1/2 is being distributed in the second step making the 8x to 4x and the 6 to 3.

The third step involves the subtraction of "x" from the right hand side and the left hand side.

Pls help me i’m so stuck

Answers

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across y = -x, coordinates of the image point will be,

(x, y)→ (-y, -x)

Following this rule,

Vertices of the triangle will be,

(3, 1) → (-1, -3)

(3, -2) → (2, -3)

(6, -3) → (3, -6)

Therefore, image of the given triangle A will be,

(-1, -3), (2, -3) and (3, -6)

Ben has some tiles. Each tile is the shape of a parallelogram. 6cm at the top and 10cm on the side He places the tiles in a row to make a shape with area 720cm2. How many tiles does he use?

Answers

Answer:

12 tiles

Step-by-step explanation:

First we need to find the area of the parallelogram, which can be found by the product of the two dimensions.

If the parallelogram has 6 cm and 10 cm, the area is 6 * 10 = 60 cm2

Then to find how many tiles are needed to fill the area of 720 cm2. we can do a rule of three:

1 tile -> 60 cm2

x tiles -> 720 cm2

x = 720 / 60 = 12 tiles

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