An accountant pays 8% per year simple intrest, in year 1 the amount in the account is $850 how much is the account in year 6?

Answers

Answer 1

hmmm, as I read it, in year 1, but it doesn't say at the beginning of the year or end, so we'll be assuming is at the beginning of year 1, the amount is 850, how much will it be at the beginning of year 6? namely, 5 years later.

[tex]\bf ~~~~~~ \textit{Simple Interest Earned Amount}\\\\ A=P(1+rt)\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\to& \$850\\ r=rate\to 8\%\to \frac{8}{100}\to &0.08\\ t=years\to &5 \end{cases} \\\\\\ A=850[1+0.08(5)]\implies A=850(1.4)[/tex]

Answer 2

Simple interest can be calculated by using the following:
A = P(1 + rt) where A is the total amount of principle and interest: P is the initial investment; r is the rate of interest; and t is the time

Using P = 850, r = .08, and t = 5
A = 850(1+ .08(5))
A = 850(1.4)
A = 1190 the amount in the account in year 6

Related Questions

The perimeter of a rectangle is 136 ft. The ratio of its length to its width is 9 : 8. What are the dimensions of the rectangle? a. 48 ft by 20 ft b. 40 ft by 28 ft c. 36 ft by 32 ft d.44 ft by 24 ft

Answers

the answer is c. hope this helps.

The cost of a bagel increases from $0.80 to $1.25. What is the percent of increase?

Answers

1.25-0.8=0.45
0.45/0.8=0.5625
0.5625*100=56.25 percent increase

The percent increase is 56.25%

Work is provided in the image attached.

Use >, <, or = to compare these numbers.

3.08 m ____ 3.8 m

Answers

3.08 m is less than 3.8. 3.8 is larger than 3.08 because the 08 is what makes it smaller.
~Deceptiøn

3.08 m < 3.8 m

This is because 3.08 is smaller than 3.8.

A pharmacist has an 18% alcohol solution. How much of this solution and how much water must be mixed together to make 10 liters of a 12% alcohol solution?

Answers

Answer:

[tex]6\frac{2}{3}[/tex] of 18%, [tex]3\frac{1}{3}[/tex] water

Step-by-step explanation:

The 18% solution added to the water is equal to the 10 liters of 12% solution.

Let's say that the amount of 18% solution is x

18% of x = 0.18x

Let's say that the amount of water is 10-x

Because there is no alcohol in water, it will be 0(10-x), or just 0

0.18x + 0 = 10•0.12

0.18x = 1.2

x = [tex]6\frac{2}{3}[/tex]

10 - [tex]6\frac{2}{3}[/tex] = [tex]3\frac{1}{3}[/tex]

Final answer:

To make a 10 liter solution of 12% alcohol, you need to mix 6.67 liters of an 18% alcohol solution with 3.33 liters of water.

Explanation:

To make a 12% alcohol solution, we need to mix the 18% alcohol solution with water. Let's assume x liters of the 18% alcohol solution and (10 - x) liters of water.

The amount of alcohol in the 18% solution is 0.18x liters, while the amount in the water is 0 liters. In the final solution, the amount of alcohol is 0.12 * 10 = 1.2 liters.

So, we can set up the equation 0.18x + 0 = 1.2 and solve for x. By solving this equation, we find that x = 6.67 liters. Therefore, 6.67 liters of the 18% alcohol solution and 3.33 liters of water should be mixed to make 10 liters of a 12% alcohol solution.

Write the equation of a line that is perpendicular to y=0.25x-7 and passes through the point (-6,8)

Answers

y=0.25x-7
y=1/4x-7
Slope of this line has a value of 1/4.
We know that k1*k2=-1 (if lines are perpendicular)
Then k2=-4
The equation of the second line is
y=-4x+b
If this line passes through the poin (-6;8), then 8=-4*(-6)+b
8=24+b
b=8-24
b=-16
The equation is y=-4x-16

Final answer:

The equation of a line that is perpendicular to y = 0.25x -7 and passing through the point (-6,8) is y = -4x -16.

Explanation:

In the mathematical realm, a line that is perpendicular to another has a slope which is the negative reciprocal of the original line's slope. The given equation, y = 0.25x - 7, has a slope of 0.25. Thus, the slope of the perpendicular line would be the negative reciprocal, which is -1/0.25 = -4. Now, a line's equation can be written in the form y = mx + b, where m is the slope and b is the y-intercept. Although we now know our perpendicular line's slope, we still need the y-intercept. To find it, we use the formula b = y - mx, substituting in our known slope (-4) and given point (-6,8). After calculation, b = 8 - (-4*-6) = -16. Therefore, the equation of a line that is perpendicular to y = 0.25x - 7 and passes through the point (-6,8) is y = -4x -16.

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1. What happens to shadows at sunrise and sunset? How are these shadows different from those cast at noon?

2. Study the information in the table below. What relationship do you see between a planet's speed of rotation and its length of day?

Diameter of planet Speed of Rotation Length of the Day
Planet A 3,000 miles 29 miles/second 24 hours
Planet B 2,990 miles 60 miles/second 14 hours
Planet C 3,020 miles 120 miles/second 8 hours

Answers

1. Shadows during sunrise and sunset are longer than those cast at the noon. The reason is that Sun is low above the horizont. Sunrays come at low angle and this causes long shadows. At the noon Sun at highest point and sunrays come at big angle. This causes the shadows to be short
Also, during sunrise and sunset shadows do not have sharp edge while shadows at noon have sharp edges.

2. We can see that speed of rotation and length of day are inversely proportional. This means that as one rises the other one falls. From the table we can see that faster rotation means shorter day.
Also, we can see that there is no linear connection. Planet C has twice the speed but it does not have half the length of a day.

The maximum weight for an elevator is 1600 pounds. You need to move boxes each weighing 40 pounds, and you weigh 145 pounds. Write an inequality that can be used to determine the maximum number of boxes that you can place in the elevator at one time. Assume only you and the boxes are in the elevator.

Answers

Let the weight of one box be X.
Then we find the following:
145 + 40X = 1600
(your weight + the weight of the boxes = maximum weight)

Two cylinders are similar. The volume of the larger cylinder is 343 ft³ and the volume of the smaller cylinder is 125 ft³. The height of the smaller cylinder is 5 ft.

What is the height of the larger cylinder?

Please show the work

Answers

x = height of larger cylinder

The ratio of the heights can be cubed to get the ratio of the volumes

(x/5)^3 = 343/125

(x^3)/(5^3) = 343/125

(x^3)/125 = 343/125

x^3 = 343

x = (343)^(1/3)

x = 7

The height of the larger cylinder is 7 feet

A limousine service charges $35 per day and an additional $0.75 per mile. Which of the following represents the number of dollars the limousine service will receive after a 12 mile ride? (A) (35 x 0.75) + 12 (B) 12 x (0.75 x 35) (C) 35 + (0.75 + 12) (D) 35 + (12 x 0.75) (E) (35 x 12) + 0.75

Answers

C because it lets you know that if you going one place 35$ then 12 x 0.75 will give you your total

Multiply (7x – 6)(8x +3). A. 56x2 – 27x – 18 B. 12x2 – 50x + 8 C. 56x2 – 18 D. 56x2 – 69x + 18

Answers

You can use the FOIL method to solve: multiply FIRST, multiply OUTSIDE, multiply INSIDE, multiply LAST to help remember to multiply all terms.

=(7x – 6)(8x + 3)
multiply first term by first term, multiply outside by outside, inside by inside, last by last
=(7x*8x) + (7x*3) + (-6*8x) + (-6*3)
multiply terms
=56x^2 + 21x - 48x - 18
combine like terms
=56x^2 - 27x - 18

ANSWER: A) 56x^2 - 27x - 18

Hope this helps! :)

Avogadro's number is equal to _____. 6.02 x 1025 6.02 x 1023 6.02 x 1010 6.02 x 1022

Answers

The correct answer is: 6.022x10²³

Actually, the more correct answer is its longer version: 6.022140857 × 10²³. Therefore, the correct Avogrado's number is equal to: 6.022x10²³. We use this to relate the molar mass of one substance to the mass of its sample.

Find two consecutive odd intefers whose product is 63

Answers

Two consecutive odd integers are known as back-to-back odd whole numbers; one right after the other.
For example; 1 and 3, 3 and 5, 5 and 7, and so on. Let’s work up to which two consecutive odd integers make a product of 63.
1 x 3 = 3; no
3 x 5 = 15; no
5 x 7 = 35; no
7 x 9 = 63; yes

From the work shown above, we can see that the two consecutive odd integers “7” and “9” make a product of 63.

I hope this helps!

Hello,

Let's assume 2n-1 the first integer
and 2n+1 the second.

(2n-1)*(2n+1)=64
(2n)²-1=64
4n²=64
n²=16
==>n=4 or n=-4
If n=-4 then 2n-1=2*(-4)-1=-9 and 2n+1=2*(-4)+1=-7
If n=4 then 2n-1=2*(4)-1=7 and 2n+1=2*(4)+1=9

(-9,-7) and (7,9) are the 2 solutions.

You drive 70 miles per hour but then slow your speed by 15 miles per hour. You then return to your speed of 70 miles per hour. Which expression shows how your speed changed?

A. -70 + 15 + (-15) C. 70 + (-15) + (-15)
B. 70 + 15 + 15 D.70 + (-15) + 15

Answers

Driving 70 miles per hour.
Slow your speed means decrease in speed= 70+(-15)=70-15=55 miles/ hr
And then return to speed of 70 miles/hr means add 15 miles to the speed.
We get
70+(-15)+15 =70 miles / hr

Option D is correct.

Answer:Option D is correct

Step-by-step explanation:

I had the same problem and I clicked option D and it was correct

A rectangular park is 56 miles wide and 157 miles long. What is the area of the park? Enter your answer in the box as a mixed number in simplest form. plz answer nowPLz!!!

Answers

I believe the answer would be 2 23/42. Sorry, if I am wrong with this answer. Sorry, i also mean the answer should be actually 1 3/7

Answer:

1 3/7

Step-by-step explanation:

just finished the k12 test

Choose the best decimal to represent 3 5/9

Answers

The decimal equivalent of 3 5/9 is 3.55555...
If the question asks for you to round to the nearest 10th it would be 3.6 and nearest hundredth would be 3.56 and so on.

Conversion of the fraction to decimal gives us; 3.55.....

How to get decimal from fraction?

There are different types of fractions such as;

Mixed Fractions

Improper Fractions

Proper Fractions

We are given the fraction as; 3 5/9

Now, this can also be expressed as:

3 + 5/9

We know that 5/9 when converted to decimal gives:

5/9 = 0.55555....

Approximating gives 0.55....

Thus;

3 + 5/9 = 3 + 0.55....

= 3.55.....

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about how much air would fill a ball with a radius of 16cm

Answers

The volume of a sphere is given by [tex]V=( \frac{4}{3} ) \pi r^{3} [/tex]. Since the radius is 16cm we replace r with 16 to obtain: [tex]V=( \frac{4}{3} ) \pi (16)^{3}=( \frac{4}{3} )(4096) \pi = \frac{16384}{3} \pi [/tex] centimeters cubed.

That's the exact answer. If you divide you get 5,461.3 (with the 3 repeating)

(6) Check my answer?
Im putting never because a pentagon has 5 sides, 2 of which are not parallel, while a parallelogram is a 4 sided figure with 2 sets of parallel sides

Are a parallelogram and a pentagon always, sometimes, or never similar?
A) always
B) sometimes
C) never****

Answers

Agreed. The figures need to have the same number of sides to have the same shape. Similar figures have the same shape but different sizes.

What are the roots of x2 + 8x – 48 = 0?
show me the work

Answers

x^2 + 8x – 48 = 0
That is a quadratic equation where
a = 1
b = 8
c = -48
We can solve it by using the quadratic formula:
x = [-b +-sq root (b^2 - 4ac)] / 2a
x = [-8 +- sq root (64 -4*1*-48)] / 2*1
x = [-8 +- sq root (256)] / 2
x = [-8 +-16] / 2
x1 = 8 / 2 = 4
x2 = -24 / 2 = -12

Allan purchased a zero coupon bond four years ago. He paid $3,000 and it has a face value of $3,500. How much money did he earn for holding the bond until maturity

Answers

Answer: $500

Explanation: The face value of any types of bond is the value of the bond at the time of maturity. So, the value of Allan's zero coupon bond is $3,500 because $3,500 is the face value of the bond he bought.

So the money he earns for holding the bond until maturity is the difference when the face value is subtracted to the cost he paid for the bond. Since

$3,500 - $3,000 = $500

Therefore, Allan earned $500 for holding the bond until maturity.

Riverside College had 4,439 students enrolled last year. Of those students, 1,049 graduated and left. If there are 1,110 new students this year, how many students are enrolled at Riverside College this year?

Answers

There is a total of 4,500 students enrolled.

Work:

4,439 - 1,049 = 3,390

3,390 + 1,110 = 4,500

The number of students that are enrolled at Riverside College this year is 4500.

What are the number of students enrolled?

Using this formula

Number of student=(Riverside college students-Number of student left)+Number of new students

Let plug in the formula

Number of student=(4,439 - 1,049)+ 1,110

Number of student = 3,390+ 1,110

Number of student= 4,500

Therefore the number of students that are enrolled at Riverside College this year is 4500.

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(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4) simplify and answer in standard form

Answers

we have that
(14x2 - 3x3 + 9x4) - (-14 + 13x3 + 11x4)=14x2 - 3x3 + 9x4 +14 - 13x3 - 11x4
(14x2 - 16x3 +14 - 2x4)

then
-2x4-16x3+14x2+14=0--------------> this is the standard form

simplify dividing the entire expression by two
-x4-8x3+7x2+7=0

the answer is
-x4-8x3+7x2+7=0

A width of a rectangular painting is 3 in. More than twice the height. A frame that is 2.5 in. Wide goes around the painting. Write an expression for the combined area of the painting and frame

Answers

The frame will go around all 4 sides of the painting. That means that the length of each side of the painting will increase by 2.5 inches. The height, h, will now be h + 5 (2.5 inches on the top and the bottom). The width, 2h + 3, will now be 2h + 3 + 5 (again, 2.5 inches on the top and the bottom). The area would be given by
(h + 5)(2h + 3 + 5) = (h + 5)(2h + 8)
Multiplying this, we have:
h*2h + h*8 + 5*2h + 5*8 = 2h² + 8h + 10h + 40 = 2h² + 18h² + 40

A country's people consume 6.36.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301301 million.

Answers

the correct question is
A country's people consume 6.3 billion pounds of candy (excluding chewing gum) per year. Express this quantity in terms of pounds per person per month. Note that the population of the country is 301 million.

we know that
1 billion------------------> 1000000000 (Thousand Million)=1 x 10^9
then
6.3 billion pounds--------------> 6.3 x 10^9 pounds
[pounds of candy per person per year]=[6.3 x 10^9 pounds]/[301 x 10^6]

[pounds of candy per person per year]=20.93 pounds per person per year

[pounds of candy per person per month]=20.93/12=1.74 pounds per person per month

the answer is 1.74 pounds per person per month

What is the classification for this polynomial?

gh^5+2g^3

Choices:
A. Monomial
B. Binomial
C. Trinomial

Answers

keep in mind, that when you encounter an operator like + or -, is a boundary of a term, therefore

gh⁵ + 2g³

first term second term

BI = two.

I need help with #13 please

Answers

13.) (t⁻⁴)⁻⁹t² Now if the exponents outside of the parenthesis, that means you multiply them. t⁻⁴⁽⁻⁹⁾=t⁴⁵ Next, When it look like this: t⁴⁵ · t², don't multiply! When it comes to this, you had to add the exponents because it has the same base number: t⁴⁵⁺²=t⁴⁷.
Here's your answer to your question, t⁴⁷.

Mr. Franco’s seventh grade science class recorded the daily high temperatures during the month of November. The temperatures are shown in the table What is the lower quartile of the daily high temperatures? a. 26 c. 20 b. 25 d. 28

Answers

To find the lower quartile of the daily high temperatures, arrange the data in ascending order and identify the value that separates the lowest 25%, which is 25.

The lower quartile of the daily high temperatures in Mr. Franco's seventh-grade science class can be found by arranging the temperatures in ascending order and then determining the value that separates the lowest 25% of the data. In this case, the lower quartile is 25.

A circular piece of fabric has a radius of 1.2 feet. The fabric sells for $5.40 per square foot. What is the total cost of the circular piece of fabric? A. $6.48 B. $20.35 C. $24.42 D. $40.69

Answers

the anwser is c. pi times 1.2 cubed is like 4.52, times 5.40 is about 24.42

Which of the following shows the graph of a line with a slope of 6/5 and a y intercept of -3?

Answers

Answer:

The correct option is 1.

Step-by-step explanation:

It is given that the slope of the line is 6/5 and y intercept is -3. It means the line must be passes through the point (0,-3).

The slope intercept form of a line is

[tex]y=mx+b[/tex]

where, m is slope and b is y-intercept.

Substitute m=6/5 and b=-3 in the above equation to find the equation of line.

[tex]y=\frac{6}{5}x+(-3)[/tex]

So, the equation of line is [tex]y=\frac{6}{5}x+(-3)[/tex].

Substitute y=0 in the above equation to find the x-intercept of the line.

[tex]0=\frac{6}{5}x-3[/tex]

Add 3 on both the sides.

[tex]0+3=\frac{6}{5}x-3+3[/tex]

[tex]3=\frac{6}{5}x[/tex]

Multiply both sides by 5.

[tex]15=6x[/tex]

Divide both sides by 6.

[tex]\frac{15}{6}=x[/tex]

[tex]2.5=x[/tex]

The x-intercept of the line is 2.5. It means the line must be passes through the point (2.5,0).

Since only in graph 1, the line passes through the points (0,-3) and (2.5,0), therefore the graph 1 represents the required line and option 1 is correct.

Quadrilateral ABCD is inscribed in this circle.

What is the measure of angle C?

Enter your answer in the box.

°

Answers

By the Inscribed Quadrilateral Theorem, a quadrilateral can only be inscribed if and only if opposite angles are supplementary. This means that [tex]\angle D \text{ and } \angle B[/tex] are supplementary, or add up to 180°. This gives us the equation
(3x + 9)° + (2x - 4)° = 180°
Combine like terms:
5x + 5 = 180
Subtract 5 from each side:
5x + 5 - 5 = 180 - 5
5x = 175
Divide both sides by 5:
5x/5 = 175/5
x = 35
This means that [tex]m \angle D=3(35)+9=114 \\m \angle B=2(35)-4 = 66 \\m \angle A=2(35) + 3=73[/tex]
We take these 3 angles away from 360 and we will have the measure of angle C:
360 - 114 - 66 - 73 = 107°

math help again please

Answers

Binomial has two terms.
Here A and B contains two terms.
C and D polynomials.
Now, In A. 7x^3y-13x^4 Here the highest degree is 4, So exclude option A because it is given that the binomial degree is 3.

We have now option B -2xy^2 - 19. Here degree of binomial is 3.

Answer: Option B

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