A linear model is used to determine the amount owed on a loan of $5,000 with simple interest of 4.25%. The model is A = 5000 + 5000(0.0425t), where A is the Amount (total principal plus interest) required to
Use the model to determine how long it would take for the loan amount to reach $7,000. Round to the nearest tenth

Answers

Answer 1

Answer:

9.4

Step-by-step explanation:

Hey there!

The question is asking us to use the model to find how long it would take for the loan amount to reach 7,000

In order to answer this, we need to make 7,000 equal to the equation:

7000=5000+5000(0.0425t)

Subtract 5000 from both sides

2000=5000(0.0425t)

Now we simplify the RHS

2000 = 212.5t

Now you divide both sides by 212.5 to get t by itself

t=9.41

So it would take 9.4 months for the loan amount to reach 7000


Related Questions

Find y.
B
C
Зу
A
8 D
м
2
4
15
10

Answers

Answer:

y=4

Step-by-step explanation:

The question is asking what is the value of y:

Since all lengths have a dash on them they are all equal :

So 3y = y+8

3y = y + 8

First we subtract y from both sides:

3y-y = y+8-y

2y = 8

Divide both sides by 2:

2y÷2 = 8÷2

y = 4

Alicia tiene un reloj que se retrasa 3 segundos cada día. ¿Cuántos minutos y segundos se retrasa en un mes?
¿Y en un año?

Answers

En un mes el reloj de Alicia se retrasa 1.5 minutos, por otra parte en un año su reloj se retrasa 18 minutos y 15 segundos.

¿Cuánto se retrasa el reloj en un mes?

La mayoría de los meses tienen entre 30 y 31 días:

Mes de 30 días:

3 segundos x 30 = 90 segundos / 60 segundos = 1 minuto y 30 segundos3 segundos x 31= 91 segundos/ 60 segundos = 1 minuto y 31 segundos

En general se atrasa 1.5 minutos en un mes.

¿Cuánto se retrasa el reloj en un año?3 segundos x 365 días = 1095 segundos/ 60 segundos = 18 minutos y 15 segundos.

Aprenda más sobre el reloj en: https://brainly.com/question/8776916

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Can someone please help me I will give u brainest please

Answers

Answer:

1/24

Step-by-step explanation:

1/2x1/2x1/6

"1/2" for which marble you choose

"1/2" for what the spinner lands on

"1/6" for what number the dice rolls

How many solutions does the system formed by x - y = 2 and ay - ax + 2a = 0 have for a nonzero
number a? Give your answer and complete the explanation.
The system has (select)
solution(s). Rearranging the left side of the 2nd equation and
subtracting 2a from both sides gives-ax + ay =
a. Dividing both sides by-a gives
x-y=
So, the equations describe the same line.

Answers

Answer:

1

y = 0

x = 2

Step-by-step explanation:

The first thing we want to do to solve a system of equations is to solve one of them in terms of a single variable.

Lets start with x - y = 2

If we add y to both sides we get: x = 2 + y

Now to solve the system of equations we can substitute that value for x into the other equation. In any system of equations a solution for one must be a solution for the other as well.

ay - ax + 2a = 0

When we substitute our value of x into this equation and get the folowing:

ay - a(2 + y) +2a = 0

ay -2a - ay + 2a = 0

All of the terms cancel out on the left side leaving us with:

0 = 0

This means that the only way this system can be solved is if y is equal to 0.

Going back to the first equation x - y = 2

x - 0 = 2   so x = 2

This is the only solution to that system of equations, which means it forms a point instead of a line.

A sculpture is made of two sizes of rectangular prisms. one size measures 13 in by 8 in by 2 in. the other size measures 9 in by 8 in by 18 in. what is the total volume of the sculpture

Answers

Answer:The answer should be 1504 if i did it corectly

Step-by-step explanation: to get volume you need to multiply L*W*H and filling that in. 13 * 8 * 2 whitch you should get 208

the other size would have to be 9 * 8 * 18 which you should get 1296

then to get the total you just need to add together the two sums 208+1296 which should equal 1504.


The solid below is made from cubes.
Find its volume.

Answers

Answer:

78.5 cm. cubed

Step-by-step explanation:

Answer:

60 cm cubed

Step-by-step explanation:

estimate the following square roots

8 is between ___ and ___ but closer to____

80 is between ___ and ___ but closer to____

140 is between ___ and ___ but closer to____

88 is between ___ and ___ but closer to____

250 is between ___ and ___ but closer to____

Answers

Answer:

8 is between 2 and 3 but closer to 3

80 is between 8 and 9 but closer to 9

140 is between 11 and 12 but closer to 12

88 is between 9 and 10 but closer to 9

250 is between 15 and 16 but closer to 16

Step-by-step explanation:

Hope this helps :)

Hurry pls!

A miniature connector is shaped like this hexagonal prism. The prism has a base area of 8.15 cm².

What is the volume of the connector?

Enter your answer as a decimal in the box.
cm³


Answers

The volume of the connector given the base area and the height is 84.70cm³.

What is the volume of the connector?

A hexagonal prism is a three dimensional object that is made up of a hexagonal base. It has 8 faces, 18 edges, and 12 vertices.

Volume = [tex]\frac{3\sqrt{3} }{2} a^{2}h[/tex]

Where:

a²= base area h = height

2.598076 x 8.15 x 4 = 84.70cm³

To learn more about prisms, please check: https://brainly.com/question/8890358

Answer:

32.6 cm³ for K12

Multiply the binomials (4x + 7) and (2x - 8).
es )
A)
8x2 +18x - 56
B)
8x2 - 18x - 56
8x2 - 46x + 56
D)
8x2 - 46x - 56

Answers

8x²-18x-56

Solve :

(4x + 7) (2x - 8)

apply distributive method

(4x)(2x)+(4x)(-8)+7(2x)+7(-8)

simplify the following

8x²-32x+14x-56

final outcome

8x²-18x-56

Answer:

B)  [tex]8x^2-18x-56[/tex]

Step-by-step explanation:

Given expression:

[tex](4x + 7)(2x - 8)[/tex]

Apply the FOIL method: [tex](a+b)(c+d)=ac+ad+bc+bd[/tex]

[tex]\implies (4x \cdot 2x)+(4x \cdot -8)+(7 \cdot 2x) +(7 \cdot -8)[/tex]

[tex]\implies 8x^2-32x+14x-56[/tex]

Combine like terms:

[tex]\implies 8x^2-18x-56[/tex]

Prisms A and B are similar. The volume of prism A is 375cm3. The volume of prism B is 648cm3. The surface area of prism A is 250cm2. Work out the surface area of prism B.​

Answers

Answer:

We have the length, width, and height of the rectangular prism, so we can calculate V=l×w×h=20cm×10cm×10cm=2,000cm3 V = l × w × h = 20 cm × 10 cm × 10 cm = 2 , 000 cm 3

The surface area of Prism B is approximately 367.25 cm^2.

Since Prisms A and B are similar, their corresponding sides are in proportion, and their volumes are related by the cube of the scale factor between them.

Let the scale factor between Prism A and Prism B be k. Then:

Volume of Prism A / Volume of Prism B = (Side length of Prism A / Side length of Prism B)^3

Given that the volume of Prism A is 375 cm^3 and the volume of Prism B is 648 cm^3, we can set up the equation:

375 / 648 = (Side length of Prism A / Side length of Prism B)^3

Now, let's solve for the scale factor (k):

k^3 = 375 / 648

k^3 = 0.5787037037

k ≈ 0.825 (rounded to three decimal places)

Now, since the surface area of a prism is proportional to the square of its side length, we can find the ratio of the surface areas:

(Surface area of Prism A / Surface area of Prism B) = (Side length of Prism A / Side length of Prism B)^2

Given that the surface area of Prism A is 250 cm^2, we can find the surface area of Prism B:

Surface area of Prism B = Surface area of Prism A / (k^2)

Surface area of Prism B = 250 / (0.825^2)

Surface area of Prism B ≈ 250 / 0.680625

Surface area of Prism B ≈ 367.25 cm^2

Therefore, the surface area of Prism B is approximately 367.25 cm^2.

To know more about area:

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The base of an isosceles triangle is represented by the expression 3x - 1. Each of the legs of the isosceles triangle is twice the base. Write an expression for the perimeter of the triangle listing each side. Simplify the expression. (if possible show your work.)

Answers

Answer: 15x-5

Step-by-step explanation:

A car travels 28 miles south and then 45 miles east around a lake. A boat leaves from the same place and arrives at the same place but travels directly from point A to point B. Calculate how many miles the boat and the car each traveled total. Then calculate who arrived first if the car was traveling at 40miles per hour and the boat traveled at 25 miles per hour.

Answers

Answer:

The car travelled 73 miles

The boat travelled 53 miles

The car arrived 17.7 minutes before the boat

Step-by-step explanation:

The total distance the car travelled from Point A to Point B = 28+45 = 73 miles

The total distance the boat travelled is given by the displacement; Using Pythagorean theorem = 53miles.

Time taken by the car = Distance/Speed = 73/40 = 1.825 hrs or 109.5 minutes

Time taken by the boat = Distance/speed = 53/25 = 2.12 hrs or 127.2 minutes.

The time taken by the car is the shortest, therefore it arrives first before the boat.

(◔‿◔)

If f(x)=3x^6+4x^3-4, then what is the remainder when f(x) is divided by x+1?

Answers

Answer:


-5


f(-1) would be the remainder



Please help me with this

Answers

Answer:

Look at the photo.

Step-by-step explanation:

The formula is y=mx+b. So, for the first one you start at the coordinate (0, 2) and then move down 2 and right one.

For the second one you start at the coordinate (0, -2) and then move down two and move right one.

The shortest leg of a 30-60-90 triangle is 5 inches. How long is the hypotenuse?
10 inches
10√2 inches
10√3 inches
5√2 inches

Answers

Answer:

the 2nd one

Step-by-step explanation:

i did the test and got correct


If 30% of the 1000 cars on a lot are not hybrids, and 45% are not sedans, how many cars on the lot are hybrid sedans?

Answers

The number of cars that are hybrid sedans are = 250 cars

Calculation using a Venn diagram

The value of 30% of 1000 = 30/100× 1000

= 300 cars are not hybrids.

Therefore the number of cars that are hybrids = 300 - x

The value of 45% of 1000 = 45/100 × 1000

= 450 cars are not sedans

Therefore the number of cars that are sedans

= 450 - x

Where X is the cars that are both hybrid and sedans

Using the Venn diagram equation,

1000 = 300 -x + X + 450 - x

1000 = 750 - X

X= 750 - 1000

X = 250 cars

The number of cars that are hybrid is 300 - x where X = 250.

300 - 250 = 50 cars

The number of cars that are sedans is 450 - x. That is,

450 - 250 = 200 cars

Therefore, the cars that are both hybrid and sedans = 250 cars.

Learn more about Venn diagram equation here:

https://brainly.com/question/24581814

caitlyn is on her school's softball team. so far Caitlyn has 39 hits in 75 times at bat. what is her batting average?

Answers

Answer:

0.52

Step-by-step explanation:

[tex]batting \: average \: = \frac{39}{75} \\ = 0.52[/tex]

you are traveling for work. You fly out of las vegas at 4:45 Am. you arrive in miami 6 hours later. what time is it when you arrive ? explain how you got your answer.

Answers

Answer:

The time wil be 1:45

Step-by-step explanation:

4:45 + 6 hours is 10:45

But since Miami is 3 hours ahead (different time zone), you
will add 3 hours. So that makes it 1:45 when you land!

Hope this helps!!

what is the period of the function y=3/2cot(3/5x)+5?

Answers

check the template in the picture below, thus

[tex]y = \stackrel{A}{\cfrac{3}{2}}cot\stackrel{B\qquad C}{\left( \cfrac{3}{5}x + 0 \right)}+\stackrel{D}{5}~\hfill \stackrel{\textit{\Large Period}}{\cfrac{\pi }{B}\implies \cfrac{\pi }{~~ \frac{3}{5}~~}\implies \cfrac{5\pi }{3}}[/tex]

3 L of water are shared equally among 5 friends. What fraction of a liter did each friend get?

Answers

Answer:  3/5 of a liter

Explanation: Simply divide 3 over 5. We cannot do much with the fraction since 3/5 can't be reduced. So we leave it as is.

3/5 in decimal form is exactly 0.6 and that converts to 60%, meaning each person gets 60% of a full liter.

1.2, 5.8, 3.7, 9.7, 5.5, 0.3, 8.1

what is the Median

Answers

Answer:

it would be 5.5

Step-by-step explanation:

0.3  1.2  3.7  5.5  5.8  8.1  9.7

Answer:

4.9

Step-by-step explanation:

Median; add up all the numbers then divide by the amount of data points

1.2 + 5.8 + 3.7 + 9.7 + 5.5 + 0.3 + 8.1

7 + 3.7 = 10.7

10.7 + 9.7 = 20.4

20.4 + 5.5 = 25.9

25.9 + 0.3 = 26.2

26.2 + 8.1 = 34.3

34.3 / 7 =4.9

45 points!

x+1(8+5)+y2-3(x3+y-4)=36-4+x7-y-1
pls i need help now!

Answers

The answer is X=-2/5

A plane flies the 1580 km from Cairo to Khartoum.
It departs from Cairo at 1155 and arrives in Khartoum at 1403.
Calculate the average speed of the plane, in kilometres per hour.

Answers

speed= distance/ time

= 1580/32/15

=1580/32 ×15

=740.625 km/hrs

time taken by plane:

11:55 - 12:00= 5mins

12:00 - 14:03= 2hrs 3mins

total time:

=5 mins + 2hrs 3 mins

= 2hrs 8 mins

= ( 2 + 8/60) hrs

= 2 + 2/15

= 32/15 hrs

How much are bike uses a petrol and oil mixture in the ratio 17:3.
A) how much of each is there in 25 litres of mixture?

Answers

By using the given ratio, we will see that 21.25L is petrol and 3.75L of oil.

How much of each component is used?

We know that Petrol and Oil is used in a mix with a ratio of 17:3

Then, in 25 liters, then first we need to divide this by 20 (the sum of the two numbers of the ratio), we get:

25 L/20 = 1.25L

So we divided 25 liters in 20 parts. 17 of these parts are petrol, and 3 of these parts are oil

Then:

17*1.25L = 21.25L of petrol

3*1.25L = 3.75L of oil.

If you want to learn more about ratios, you can read:

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There are 85 students in a college mathematics class. Five students are
chosen to work on a project together. How many different groups of five
students are there in this class?

Answers

Answer:

17

Step-by-step explanation:

85/5=17

The answer is 17 because you divide 85 by 5

.
How many degrees are in a circle?
180°
300°
90°
360°

Answers

A circle is divided into 360 equal degrees

Answer:

360

Step-by-step explanation:

each part of circle are divided into 360

Can you help me with this

Answers

Answer:

i think it is b

Step-by-step explanation:

i am not good at math sorry

PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake

Answers

Answer:

Step-by-step explanation:

Step one is not correct. He got 12. He should have obtained 10 -2  = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.

Answer: Step one contains the error.

Answer:

A. Step 1

Step-by-step explanation:

I did it on khan so its right

What about this one?

Answers

Answer:

108

Step-by-step explanation:

Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.

I really need help with this.

Answers

Answer:

See attachment

Step-by-step explanation:

See attached image.

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