Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?

Answers

Answer 1

Answer:

It will take 88.2 months to accumulate the amount

Step-by-step explanation:

Given;

Future value of money, FV = $25,000

investment per compound period, P = $200

interest rate, i = 0.75% x 12 = 9%

The number of monthly installments required to amount to FV is given by;

[tex]n = \frac{ln(FVi +cp)-ln(cp)}{ln(c+i)-ln(c)}\\\\ n = \frac{ln(25000*0.09 +200*12)-ln(200*12)}{ln(12+0.09)-ln(12)}\\\\n = \frac{8.4446 -7.7832}{2.4924-2.4849}\\\\n = 88.2 \ months[/tex]

Therefore, it will take 88.2 months to accumulate the amount.


Related Questions

Can anyone help me identifying pounds and liters ;-;

Answers

Answer:

sure but can u help me ban 50070356 he or she is using my pfp as hers

Step-by-step explanation:

There are 25 students in the class. 10 students have sports practice after school. What is the ratio of students that do have practice, to those that do NOT?

Answers

Answer:

10:15

Step-by-step explanation:

What does the word “flip” tell you to do in “keep change flip” for dividing fractions a) change the place of the numbers numerator and the denominator for the first fraction b) change the places of the numbers in the numerator and the denominator for the second fraction c) change the places of the numbers in the numerator and the denominator for both fractions d) change the ÷ between the fractions

Answers

Answer:

b) change the places of the numbers in the numerator and the denominator for the second fraction

Step-by-step explanation:

In the phrase "keep change flip":

You "keep" the first fraction.

"Change" the division sign into a multiplication sign.  

"Flip" (or switch) the places of the numerator and denominator in the second fraction.

Example:

[tex]\frac{1}{2}[/tex] ÷ [tex]\frac{1}{3}[/tex]

[tex]\frac{1}{2}*\frac{3}{1}=\frac{3}{2}=1.5[/tex]

Hope this helps.

A rule that airline pilots use to estimate outside temperature in degrees Fahrenheit at an altitude of h thousand feet is to double h, subtract 15, and multiply the result by -1. State a rule for the altitude in feet based upon the outside temperature. At what altitude is outside temperature about -51°F?​

Answers

Answer:

The altitude is 33 thousand feet at the given temperature

Step-by-step explanation:

We firstly would need to write out the rule.

We can do this by by doubling h, subtracting 15 and multiply the result by -1

Kindly note that h is in thousands of feet

That would be ;

T = (2 * h - 15) * -1

T = -1(2h - 15)

T = -2h + 15

T = 15 - 2h

So for the altitude in feet at a temperature of - 51 degrees Fahrenheit

We simply substitute the value of -51 for the temperature

So we have;

-51 = 15 - 2h

2h = 15 + 51

2h = 66

h = 66/2

h = 33 thousand feet

I need help PLLS I'll give you the Brainliest

Answers

Answer:

C

Step-by-step explanation:

21 - (-5)     A negative minus a negitive turns into a +

21 + 5 = 26

A.  -21 + 5 = -16      NO

B.    21 - 5 = 16   NO

C. 21 + 5 = 26    YES

D. -21 - 5 = -26    NO

Answer:

C

Step-by-step explanation:

When subtracting a negative, the two negatives cancel out. The rule is that two like signs become positive.

Therefore, +(+) =+ and -(-) = +  

So, the equation would be 21 + 5.

Find the distance between the points (-3,7)
and
(6, 7).

Answers

Answer:

9

Step-by-step explanation:

use the distance formula:

[tex]\sqrt{(x2 -x1)^{2} + (y2-y1)^{2} }[/tex]

so, with your two points, x2=6, x1=-3, y2=7, and y1=7

so then just plug in the values

[tex]\sqrt{(6--3)^{2} + (7-7)^{2} }[/tex]

because you have 6 minus a negative number, it turns into 6+3, like shown

[tex]\sqrt{(6+3)^{2} + (7-7)^{2} }[/tex]

so then add and subtract the parenthesis

[tex]\sqrt{(9)^{2} + (0)^{2} }[/tex]

so then because 0 squared is just zero, you simply have the square root of 9 squared

[tex]\sqrt{9^{2} }[/tex]

so then square the 9

[tex]\sqrt{81}[/tex]

then take the square root of 81, and you get 9!

[note that when you have the square root of a squared number, it is just the number, so the square root of 9 squared is just 9, but if it helps, you can work it out like I did to show you :)]

The distance between the points (-3, 7) and (6, 7) is 9.

What is the distance between two points of a line?

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) and (c, d) are the two points.

We have,

(-3, 7) = (a, b)

(6, 7) = (c , d)

Now,

Distance between these two points.

= [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

= √(6 + 3)² + (7 - 7)²

= √9²

= 9

Thus,

The distance between the points is 9.

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ2

A cube has a volume of 125 cube inches. what is the length of each edge​

Answers

Answer:

5 cubic in. would be the length of each edge.

Step-by-step explanation:

volume = length * width * heigh

125 = 5 * 5 * 5

Someone pls help me!!! (7th grade math work) will mark as Brainliest
SHOW WORK PLSSSSKSKSKS

Answers

Answer:

J.    42 =   x         57     100

Step-by-step explanation:

last year won 57 games

this year won 15 games

the difference is 57 - 15 = 42,

this means it drops 42 / 57 = 0.73 (100%)  ≈ 73%

therefore,  the percentage decrease from the given choices is: J

42 =   x  

57     100

the graph represents a function with the form f(x)=asin(bx+c) which values of a,b, and c are possible

Answers

Answer:B

Step-by-step explanation: edge 2020

For 2 minutes, a satellite traveled at a steady speed. It traveled 380 kilometers around Earth in that time. What was the satellite's speed?

Answers

Answer: The satellites speed was 190 kilometers per minute.

Step-by-step explanation:

The formula for speed is calculated as:

Speed = Distance/Time

where,

Distance = 380 kilometers

Time = 2 minutes

Speed = Distance/Time

Speed = 380km/2min

Speed = 190km/min

The satellites speed was 190 kilometers per minute.

Therefore, the correct answer is C.

2,000x + 6,000 = 3,500x - 39,000

Answers

x=30 may i please get brainliest
The answer is x=30 let me know if u need help with anymore questions and please make me brianliest

Create three different expressions that are each equal to 20. Each expression should include only these three numbers: 4, -2, and 10.​

Answers

Answer:

Step-by-step explanation:

you could do;

10 x -2 = 20

-2 x (-2) x 10 divided by (-2) + 10 + 10 + 10 +10 =20

4 + 4 - 10 x -2 - 4 - 4 = 20

Based on the graph, which of the following represents a solution to the equation
(-2,-3)
(3,2)
(1,3)
(3,1)

Answers

We need a picture of the graph

Answer:

Add a picture of the graph please?

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest thousandth (if
necessary).
352, 345, 338, ...
Find the 37th term.

Answers

Answer:

09

Step-by-step explanation:

Solution for y = 3x -1

Answers

well this is the form for slope so what you would do is graph this and make sure you have a solid line
X= 1/3 or x=3 or x0.3

I just took a science test and got a 80% on the test. CBA's are 50% of our grade and I had a 98% in science class. How much will my grade drop?, what will my new grade be?​

Answers

Answer:

89%

Step-by-step explanation:

Answer:

Grade drops 9 percentage points.

New overall grade is 89%

Step-by-step explanation:

The test with a score of 80% accounts for 50% of the grade.

The current average of 98% accounts for the other 50% of the grade.

50% of 80% + 50% of 98% =

= 40% + 49%

= 89%

The new overall grade is 89%.

Since the previous overall grade, before the test, was 98%,

and 98% - 89% = 9%, then

the new grade is 9 percentage points lower than the previous overall grade.

The line parallel to y = −x that passes through (5, 5.5). The equation of the line that passes through (5, 5.5) is y =

Answers

The line parallel to y = -x has the same slope, which is -1, because parallel lines have the same slope.

So you plug 5 and 5.5 into the equation y = -x + b.

5.5 = -5 + b

Add 5 to both sides.

10.5 = b

So, y = -x + 10.5

PLEASE HELP WILL GIVE BRAINLIST.
What is the slope of the line in the graph?

Answers

Answer:

x-1

Step-by-step explanation:

I NEED HELP ASAP

The equation y+6
- 5(x-9) is written in point-slope form. What is the equation written in slope-intercept form


Answers

The last answer is right and i’m not sure i just give my answer
i think the answer to this question is B

You start at (-2,-4). You move down 1 unit and right 6 units. Where do you end

Answers

Answer:

(4,3)

Step-by-step explanation:

moving down 1 unit makes the point (-2,3)

moving 6 units to the right makes the point(4,3)

Which of the following statements cannot be assumed from the diagram?

Answers

Answer:

Can you give me any more context?

what is the absolute value of -3/5​

Answers

Answer:

3/5

Step-by-step explanation:

absolute value is always positive

I don't understand why the answer is y=3x+1.
I got y =3x-6
please help me.​

Answers

Answer: Answer is y= 3x+1

Step-by-step explanation:

Use point slope form y-y°=m(x-x°)

Find m, the slope: subtract the y values of the points, and divide that with the number you get when you subtract the x values of the points.

You should get m=3

Take either of the points, I’ll choose (0,1) because they are easy to use. Substitute 0 for x° and 1 for y°.

y-(1)=3(x-(0)) Substitute (0,1)

y-1=3x Simplify

y=3x+1 Add 1 to both sides and you’re done

The sales of a certain product after an initial release can be found by the equation s=10√5t+15 where s represents the total sales (in thousands) and t represents the time in weeks after release. about $78 about $415,000 about $78,000 about $415

Answers

Answer:

About $78

Step-by-step explanation:

The company is not complete. The question is to estimate the sales 8 weeks after release. To do that, we will substitute t = 8 into the modeled function s=10√5t+15

s = 10√5(8) + 15

s = 10√40 + 15

s =10(6.32)+15

s = 63.2+15

s = 78.2

Hence the sales after 8weeks is about $78.

A heap of grain is shaped as a cone ADCF with height 5 m and base radius 2 m, as shown on the diagram. A and C are points on the circumference of the circular base of the cone and = 120°. Find:

a. the angle between [A F] and the base of the cone

Answers

Answer:

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone ≈ 12.57 m²

Step-by-step explanation:

The given parameters are;

The height of the cone = 5 m

The base radius of the cone  = 2 m

The angle which the A[tex]\hat O[/tex]C = 120°

Therefore, we have;

The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone

The angle between [CF]  and the base of the cone = tan⁻¹(5/2) = tan⁻¹(2.5) ≈ 68.2°  

∴ The angle between [A_F] and the base of the cone = The angle between [CF]  and the base of the cone = 68.2°

The angle between [A_F] and the base of the cone = 68.2°

The area of the base of the cone = π × r² = π × 2² = 4·π ≈ 12.57

The area of the base of the cone ≈ 12.57 m².

The graph of y = f(x) is shown. Choose all the true statements.

−2 is a member of the domain of f.
−2 is a member of the range of f.
f(0) > 0
f(2) > 2

Answers

Answer:

−2 is a member of the domain of f.

f(0) > 0

Step-by-step explanation:

Statement 1 is TRUE. Domain value includes set of values of x of the function. -2 is plotted on the x-axis on the graph. Therefore, it is a member of domain of f.

Statement 2 is incorrect. Range includes all possible y-values of the function. On the graph, no y-value plotted is -2. Therefore, -2 is NOT a member of the range of f.

Statement 3 is TRUE.

f(0) is approximately 2.2 on the graph. i.e. at x = 0, y ≈ 2.2.

Therefore, f(0) > 0.

Statement 4 is INCORRECT.

f(2) = 1, that is at x = 2, y = 1 as seen in the graph. Therefore, f(2) is not greater than 2.

five and four hundred three thousandths in standard form

Answers

Answer:

5.403

Step-by-step explanation:

Five is 5. Four hundred three thousandths is .403. the 3 is in the thousandths the 4 is in the tenths and the 0 is in the hundredths, and the 5 is a whole number.

5.403 because five is whole four is hundredths and 3 is thousandths i think

Kayty please help me!
What's the square root?

Answers

Answer:

Square root

Step-by-step explanation:

a number which produces a specified quantity when multiplied by itself


Select all that apply. The number -2 is a...
A: Natural Number
B Whole Number
C Integer
D Rational Number
E Irrational Number
F Real number

Answers

Answer:

it is an integer

Step-by-step explanation:

bc it's -3

6. 108 is how many times as large as 2. 103?

Answers

Answer:

54 times larger than 2

Step-by-step explanation:

108 divided by 2 is 54

54 times larger than 2
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