Emani borrowed $2,000 from his bank. The loan will be compounded quarterly for 3.5 years at an 8% interest rate. The full amount to the nearest
whole cent) he will owe to the bank (principal + interest) is:
Note: Use the formula: FV = P(1 + yt.

Answers

Answer 1

Answer:$3,661.24.

Step-by-step explanation:


Related Questions

Find the equation (in terms of x ) of the line through the points ( − 5 , 4 ) and ( 4 , 0 ) . Express your answer in slope-intercept form

Answers

Answer:

Equation = 4x + 9y = 16

Step-by-step explanation:

co-ordinate = (-5.4) & (4,0)

slope(m) = (y² - y¹) / (x² - x¹)

slope(m) = (0-4) / (4+5)

slope(m) = -4 / 9

Equation,

y = mx + c

y - 0 = -4/9 (x - 4)

9y = -4x + 16

4x + 9y = 16

geometry math plz help

Answers

Answer:

1. mCD is equal to 84 degrees.

2. I believe that RPT would be equal to approximately 51 feet. I think I am right, but I am not 100% sure. I used formula though.

Step-by-step explanation:

1. In order to find the measure of CD, you would find the measure of AD and CD, because they add to 180, and from there you can take the answer, which will be the x value, and plug it back into measure CD's equation.

1. Add the equations of mAD and mCD and set them equal to 180, because together on the graph they add to 180 degrees, which is a semi-circle.  

19x-49+5x+37=180

24x-12=180

2. Solve.

24x-12=180

24x=168

x=7

3. Plug x back into mCD and find the answer!

19(7)-49=84

mCD= 84 degrees!

2. Arc Length Formula

2[tex]\pi[/tex]r degrees/360

2pi (14) 208/360≈51

Isabella took a taxi from her house to the airport. The taxi company charged a pick-
up fee of $4.70 plus $2.25 per mile. The total fare was $58.70, not including the tip.
Write and solve an equation which can be used to determine , the number of miles in the taxi ride.

Answers

Answer:

Equation: 2.25x+4.7=58.70

Answer: x = 24x=24

Hope this helps

The following quadrilateral is a parallelogram. Solve for x, y, and z.

Answers

Answer:

Angle X = 73 degrees, Angle Z = 34 degrees, and Angle Y = 146 degrees

Julio spent $52.43 on batteries. If they cost $7.49/pack, how many packs did he buy?

Answers

Answer:

7

Step-by-step explanation:

52.43 ÷7.74=7

Please help I’m really need the help (NO LINKS ) (NO LYING ) PART 2 again again again

Answers

Answer:

Step-by-step explanation: i wont tell you the answer but ill thell you how to do it,soo the strat is to count where the line is as a different part then u just add em

example 1:41.6

8-4=4x4=16

8x3.2=25.6

16+25.6=41.6

:)

Answer:

A. 15

B. 25.6

C. 41.6

three numbers are in A.P. the difference between the first and the last is 8 and the product of these two is 20. find the numbers​

Answers

9514 1404 393

Answer:

  10 and 2

Step-by-step explanation:

Essentially, you're being asked to find factors of 20 that have difference of 8. 20 can be factored as ...

  20 = 20×1 = 10×2 = 5×4

The factors 10 and 2 have a difference of 8.

The numbers are 10 and 2.

1. A company has $6582 to give out in bonuses. An amount is to be given out equally to each of the 32 employees.
(a) A manager, Jake, reasoned that since 32 goes into 64 twice, each employee will get about $2000. Is his estimate correct? Why or why not?
(b) How much will each employee receive, rounded to the nearest whole dollar? Leave the remainder undivided. Show your work.
Answer:

Answers

Answer:

A) His estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B) Rounded to the nearest dollar, each employee would receive $ 209.

Step-by-step explanation:

Since a company has $ 6582 to give out in bonuses, and an amount is to be given out equally to each of the 32 employees, and A) a manager, Jake reasoned that since 32 goes into 64 twice, each employee will get about $ 2000 , to determine if his estimate is correct, and B) determine how much will each employee receive, rounded to the nearest whole dollar, the following calculations must be performed:

A)

2000 x 32 = 64000

200 x 32 = 6400

Therefore, his estimate is incorrect, since he has increased a figure to the amount that each employee would receive.

B)

6582/32 = X

208.68 = X

Therefore, rounded to the nearest dollar, each employee would receive $ 209.

Olaf wants to buy a guitar that costs $600. He makes $3 per day. How many days will it take Olaf to save enough money to buy the guitar

Answers

Answer:

200 days

Step-by-step explanation:

600/3 = 200

Answer:

200 days

Step-by-step explanation:

Simple: You divide the cost of the guitar by the amount he gets paid per day. Hope this helps :)

Decide which of the following quantities can be represented by a positive number and which can be represented by a negative number. Give an example of a quantity with the opposite sign in the same situation

Answers

Answer:

Step-by-step explanation:

a +

b -

c +

d -

e -

positive, Negative , Positive, Negative, Negative.

What is Number System?

A number system is defined as the representation of numbers by using digits or other symbols in a consistent manner.

The given sentences are

(A) Tylers puppy gained 5 pounds.

This we can take as a positive number. Because here the value is increasing. whenever we use gained means it is positive.

Tylers puppy lost 5 pounds is the negative number.

(b) The aquarium leaked two pounds of water

This we can take as a Negative number. Because here the value is decreased. whenever we use leaked means it is negative.

The aquarium added with two pounds of water is a positive.

(c) Andrew received a gift of $10.

This we can take as a positive number. Because here the value is increasing. whenever we use received means it is positive.

Andrew gifted a gift of $10.

This we can take as a Negative number. Because here the value is decreased. whenever we use gifted means it is negative.

(d) Kiran gave a gift of $10

This we can take as a Negative number. Because here the value is decreased. whenever we use gave means it is negative.

Kiran received a gift of $10 is positive.

(e) A climber descended 550 feet.

This we can take as a Negative number. Because here the value is decreased. whenever we use descended means it is negative.

Hence positive, Negative , Positive, Negative, Negative,.

To learn more on Number system click:

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Jacqueline is ordering pizzas for a party. Each pizza is cut into 12 slices. Jacqueline wants to have enough pizza so each person can have 4 slices. 16 people will be at the party. If Jacqueline buys 7 pizzas, how many extra slices will be left over after each guest eats 4 slices?

Answers

Answer:

20

Step-by-step explanation:

Just write down the answer.

how is finding 8x3/4 similar to finding 3/4 of 8

Answers

Answer: your answer would be 6

8*3=24/4 and 24/4=6

Step-by-step explanation: Hope this help :D

Answer:

Because in order to find 3/4 of 8, you must solve for 8 * 3/4.

A helpful tip is that "of" is one of the giveaways of a multiplication problem. Others include but are not limited to, "multiply, " "product," "by," "times," "area," "twice," "double," "thrice," "triple," and "quadruple."

I would appreciate Brainliest, but no worries.

I’ll give brainliest

Find the area of the smaller sector.
Round to the nearest tenth.
500
7 1371
Area = [? ]ft2

Answers

Answer:

22.2

Step-by-step explanation:

Hello There!

This is the sector area formula

[tex]A=\frac{0}{360} (\pi r^2)[/tex]

where 0 = sector angle

and r = radius

The given sector has a measure of 50 degrees and a radius of 7.13

Knowing this information we plug it into the formula

[tex]A=\frac{50}{360} (\pi 7.13^2)\\\frac{50}{360} =0.1388888889\\7.13^2=50.8369\\50.8369\pi =159.7088316\\159.7088316*0.1388888889=22.18178216[/tex]

so we can conclude that the area of the sector is 22.18178216 ft²

finally we round to the nearest tenth

and get that the answer is 22.2


Please help please no links please please anything helps

Answers

Answer:

140

Step-by-step explanation:

Possibly i'm not that great at math but this might be the answer.

Help fast it’s for a test I do t wanna fail!!

Answers

Answer:

it is decreasing by 1/2 half every number to get the next answer is 6

Step-by-step explanation:

VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.

Answers

Answer:

he action or condition of becoming or being made wider, larger, or more open.

Step-by-step explanation:

answer is d the longer answer

The following data points represent the number of puppies in each litter at Port's Pup Rescue.
Sort the data from least to greatest.
11
14
7
2
9
6
2
Find the median number of puppies.
puppies
My

Answers

2,2,6,7,9,11,14

And the Median is 7

What is the area of the figure? I give brainliest! :)

Answers

Answer: I think it is 142

Step-by-step explanation:

91 + 51 = 142

what adds to 3 and multiplies to -70

Answers

I don’t even know broski
Answer : I believe it’s 10 not for sure
Hope this helps!

D. Write an original equation and solve.
Eight fewer than twice the sum of x and 4 is 10.

Answers

Answer:

2(x+4) - 8 = 10

Step-by-step explanation:

the sum of x and 4: x+4

twice the sum of x and 4: 2(x+4)

eight fewer than twice the sum of x and 4: 2(x+4) - 8

eight fewer than twice the sum of x and 4 is 10: 2(x+4) - 8 = 10

Eva earns $500 per month plus $3 for every sale she makes which inequality can she use to find how much she must sale to earn at least $1,200 in a month

Answers

Answer:

500 + 3(s) ≥ 1200

Step-by-step explanation:

Ok so the goal is to earn 1,200 / month

We know that she already earns 500/month

So lets do some subtraction

Because she needs to make ATLEAST 1,200, well use either ≤ or ≥

Lets call (s) the number of sales she makes

Lets form the inequality

500 + 3(s) ≥ 1200

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Jacob's family takes the train to the city. The sign below shows information about the cost of train tickets. Jacob's family buys 2 adult tickets and 3 child tickets.
How much does it cost Jacob's family to take the train into the city?

Train Fare One-Way Adult $7 Child $6

It costs Jacob's family $
32
to take the train into the city.
You got it!
Jacob’s father pays for the tickets with $5 bills. He receives $3 in change. How many $5 bills does Jacob’s father use to pay for the tickets?

Answers

Answer:

it cost Jacob family $32 and he used 7 $5 bill to pay

Step-by-step explanation:

2 × 7 = 14

3 × 6 = 18

18 + 14 = 32

5x - 32 = 3

5x = 32 + 3

5x = 35

x = 35 ÷ 5

x = 7

The zeros of a parabola are -5 and -3. The point (0, 60) is on the graph as represented by the equation.

60=a(0+5)(0+3)

What is the value of a?

−7.5
−4
4
7.5
plz be right its a massive grade

Answers

Answer:

C is the Correct answer and luck on the massive grade

There is a 30% probability of
hail. What is the probability
that it will NOT hail?

Answers

Since we’re taking from a whole of 100% every time, we just subtract the 30 from 100 and get 70%

Answer:

70% probability

Step-by-step explanation:

  100% probability

 -30% probability

 =70% probability

) Which expressions show the total area of the tiny house in square feet? Choose ALL that apply. 36x + 24 24x + 36 2.(12 + 3) 12(2x + 3)​

Answers

Hi for this answer you see

Answer:

24x+36 and 12(2x+3)

Step-by-step explanation:

I just did it

A cuboid with a volume of 924 cm' has dimensions
4 cm, (x + 1) cm and (x + 11) cm.
Show clearly that x2 + 12x – 220 = 0
Solve the equation by factorisation, making sure you show the factorisation.
State both values of x on the same line.
Finally, find the dimensions of the cuboid, writing all three on one line.

Answers

Answer:

4cm, 11cm, 21cm

Step-by-step explanation:

4(x + 1)(x + 11)

4(x ^ 2 + 12x + 44)

x ^ 2 + 12x + 11 = 231

x ^ 2 + 12x + 11 - 231 = 0

x ^ 2 + 12x - 220 = 0

(x - 10)(x + 22) = 0

x = 10 and x = - 22

4cm , 11cm , 21cm

Hope it helps you xx

Answer:

Dimensions = 4cm, 11cm and 21 cm.

Step-by-step explanation:

x2 + 12x - 220 = 0

x2 + 22x - 10x - 220

= x(x+22) -10(x+22)

=(x+22)(x-10)

x + 22= 0

-22       -22

x = -22 (x cant be negative so this is wrong)

x-10 = 0

+10      +10

x = 10 (positive so its correct)

4 , (10+1), (10+11)

= 4, 11, 21 cm.

Rectangular prism l 2/3, h 3/5 w 4/7 what is volume?

Answers

Answer:

Step-by-step explanation:

volume= width X height X length

volume= 4/7 X 3/5 X 2/3

volume= 0.23

You earn $18 for watching three cars how much do you earn to Washing 2 cars

Answers

Answer:

$12

Step-by-step explanation:

3 cars divide that by $18 and u get $6 per car. multiply that by two cars nd you get $12.

While standing on a pier, Lynette saw a balloon floating 20 feet above her and a fish swimming 4 feet below the surface of the water.

Let 0 represent the water surface, and let the positive side of 0 represent position above the surface. Which number sentence correctly compares the distances of the balloon and the fish to the surface of the water?
A. |-4| < |20|
B. |-4| > |20|
C. |4| < |20|
D. |4| > |-20|

Answers

Answer:

I'd go with A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

what is the shortest distance from the surface xy+15x+z2=209 to the origin ?

Answers

We can determine the shortest distance from the surface xy+15x+z^2=209 to the origin.

Given the equation of the surface is xy + 15x + z^2 = 209.

Let's determine the shortest distance from the surface to the origin.

The shortest distance between the surface and the origin is given by the perpendicular distance, which can be calculated as follows:

Firstly, we need to determine the gradient of the surface, which is the vector normal to the surface.

For this purpose, we need to write the surface equation in the standard form, which is:xy + 15x + z^2 = 209 xy + 15x + (0)z^2 - 209 = 0 (the coefficients of x, y, and z are a, b, and c).

The gradient of the surface is given by the vector: ∇f = (a, b, c) = (y + 15, x, 2z) at the point P(x, y, z), which is a point on the surface.

Here, the normal vector is ∇f = (y + 15, x, 2z).

Now, let's consider a point A on the surface which is closest to the origin.

Let the coordinates of A be (a, b, c).

Therefore, the position vector of A is given by: OA = ai + bj + ck.

The direction of the position vector is in the direction of the normal vector, and therefore: OA is parallel to ∇f.

Thus, we can write: OA = λ∇f = λ(y + 15)i + λxj + 2λzkWhere λ is a scalar.

Since A lies on the surface, we have: a*b + 15a + c^2 = 209.

We also know that OA passes through the origin.

Therefore, the position vector of A is perpendicular to the direction vector OA.

This gives us: OA·OA = 0⟹ (ai + bj + ck)·(λ(y + 15)i + λxj + 2λzk) = 0

Simplifying this equation gives us:aλ(y + 15) + bλx + c(2λz) = 0

Also, we know that OA passes through the origin.

Therefore, the magnitude of OA is equal to the distance of A from the origin.

Hence, we can write: |OA| = √(a^2 + b^2 + c^2)

The value of λ can be obtained from the equation: aλ(y + 15) + bλx + c(2λz) = 0orλ = -2cz / (b + a(y + 15))

Substituting this value of λ in OA, we get: OA = λ(y + 15)i + λxj + 2λzk= -2cz/(b + a(y + 15)) (y + 15)i - 2cz/(b + a(y + 15)) xj - 4cz^2/(b + a(y + 15))k

Substituting this value of λ in |OA|, we get: |OA| = √[(2cz/(b + a(y + 15)))^2 + (2cz/(b + a(y + 15)))^2 + (4cz^2/(b + a(y + 15)))^2] = 2cz√[(y + 15)^2 + x^2 + 4z^2] / |b + a(y + 15)|

The distance of the point A from the origin is |OA|, which is minimized when the denominator is maximized. The denominator is given by |b + a(y + 15)|.

Thus, we have to maximize the denominator with respect to a and b. The condition for maximum value of the denominator is obtained by differentiating the denominator with respect to a and b separately and equating it to zero. The values of a and b obtained from these equations are substituted in the equation a*b + 15a + c^2 = 209 to obtain the coordinates of the point A, which is closest to the origin.

Hence, we can determine the shortest distance from the surface xy+15x+z^2=209 to the origin.

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