You invest money at 6% interest compounded annually for 3 years. If the future value of your investment is $1800, how much money did you invest? Show your work.
Answers
Answer:
Step-by-step explanation:
FV = P(1+r)^t
1800 = P(1+0.06)^3
1800 = P(1.06)^3
P = 1800/(1.06)^3 = $1511
Related Questions
What is the product of 7 Over 9 and One-fourth?
7 Over 36
8 Over 36
7 Over 13
8 Over 13
Answers
Answer:
7/36
Step-by-step explanation:
Two friends plant a tree and record the height of the tree each following year to track its growth. The data can be represented by the linear model y = 4.3z +3.25, where y represents the height of the tree, in feet, and z represents the number of years since it was planted.
Based on the linear model, what is the expected height of the tree in 8 years?
3.25
4.3
31.2
37.65
Answers
Answer:
D.) 37.65
Step-by-step explanation:
I know that 8 is an input based on this word problem. So, then I plug in the 8 for z and solve to find the expected height of the tree in 8 years.
y=4.3z+3.25
y=4.3(8)+3.25
y=34.4+3.25
y=37.65
In 8 years the expected height of the tree is 37.65
A construction worker drew a sketch he will use as he works.
Which statement is not true?
A. The distance from the ground to the pipe is 2.5 feet.
B. The distance between the pipe and the rope is 1 foot.
C. The distance between the ground and the rope is 5 feet.
D. The distance from the ground to the pipe is 1 foot less than the distance from the ground to the rope.
Answers
Cadesia has $42.70, which is 175% of the amount that Alisha has. How much money, in dollars, does Alisha have?
Answers
Four more than half of the students in Bryan’s homeroom have tickets to attend the school’s musical. 20 students from that class have tickets. Select all the equations that can be used to find the number of students, m, in Bryan’s homeroom.
CHECK IMAGE!!
Answers
The options b and d are suitable equations. The equations are \(\frac{1}{2} m+4=20 and 4=20-\frac{1}{2}m\). The number of students in Bryan's homeroom in this equation is m.
The following information is given in the question: The number of students who possess tickets = 20. And, m is the number of students in Bryan's homeroom. let us solve the sum using this particular equation \(\frac{1}{2} m+4=20\) to figure out how many students are in Bryan's homeroom.
On solving the given equation,
\(\frac{1}{2} m+4=20 \\4+\frac{2}{m} = 20\\8+m=40\\m= 40-8 = 32. \\\)
As a result, there are 32 students in Bryan's homeroom(m). The options that are used to find the number of students, m, in Bryan’s homeroom are \(\frac{1}{2} m+4=20\) and \(4=20-\frac{1}{2}m\). All other options do not satisfy the conditions given in the question.
To learn about this equation,
https://brainly.com/question/14655657
Question 1 (Essay Worth 2 points)
A coordinate graph is shown. The label on the x axis is Weight in pounds. The label on the y axis is Total cost in dollars. There is a line connecting the points 0, 0 and 10, 5.
The graph shows the relationship between pounds of dog food and total cost, in dollars, for the dog food.
Which statement(s) about the graph is/are true?
A. Point (0, 0) shows the cost is $0 for 0 pound of dog food.
B. Point (1, 0.5) shows the cost is $1 for 0.5 pound of dog food.
C. Point (2, 1) shows that 2 pounds of dog food cost $1.
D. Point (4, 2) shows the cost is $4 for 2 pounds of dog food.
E. Point (10, 5) shows that 10 pounds of dog food costs $5.
Answers
Answer:
mu answer is A
Step-by-step explanation:
because if an point shows (0,0) shows the cost is $0 for 0 pound of dog food
hope this helps
lucy, a caricaturist drew 28 sketches of kids at a birthday event in a total of 224 minutes. find the time spent to sketch 1 caricature
Find the unit rate
Answers
Answer:
8 minutes
Step-by-step explanation:
when you divided 28/224 you get 8 minutes
Answer:
480s per sketch
Step-by-step explanation:
change the minutes to seconds224×60=13440s
to find unit rate28sketches=13440s
1sketch=?
13440÷28=480s per sketch
Can Someone Help Me Please? I am offering 100 points!
Geraldine is graphing the inequality x less-than 6. Which statements below describe steps she may take to graph the inequality correctly? Check all that apply.
Draw an open circle at 6.
Draw a closed circle at 6.
Shade all numbers less than 6.
Shade all numbers greater than 6.
Shade all numbers to the right of 6.
Shade all numbers to the left of 6.
Answers
Answer:
shade all numbers less than 6
shade all numbers to the left of 6
Step-by-step explanation:
i believe this is the answer because if you graph x<6, you can see that the shaded area is to the left of 6 (numbers less than 6).
Desmos graphing calculator helps
Answer:
3, & 6
Step-by-step explanation:
Could someone please help me on this question? I need help!!
Answers
Answer:
Step-by-step explanation:
do you think you could take a closer up one then I will help you.
Simplify.
4n + 12 + 7n
A. 4 n + 19
B. 23 n
C. 16 n + 7
D. 11 n + 12
Answers
Answer:
D. 11n + 12
Step-by-step explanation:
You can simplify the 4n + 7n to be 11n by adding them together.
This means the answer is 11n + 12.
This unit, you have learned several formulas and equations. Match the formula or equation with what the answer represents.
1.______
100% + percent = or
100% - percent =
2._______-
original x percent =
*when the percent is written as a decimal
3._____
original x (1.00 + percent) = or
original x (1.00 - percent) =
*when the percent is written as a decimal
4.________
new - original x 100% =
___________
original
5._________
| measured - actual | x 100% =
______________
actual
6.
measured - actual =
__________________________________________________________________
Column B
a.formula to find error
b.total change in the percent
c.formula to find the percent of change when given two numbers
d.amount something increases or decreases
e.equation to find the total amount
f.formula to find percent of error
Answers
Answer:
.
Step-by-step explanation:
.
Translate this sentence into an equation.
The product of 5 and Jenny's score is 65 .
Use the variable j to represent Jenny's score.
Answers
Answer:
5j=65
Step-by-step explanation:
the product of 5 and Jenny's score must be equal to 65. Sense we don't know Jenny's score, replace it with j and multiply it by 5.
product = addition
ABC is a right triangle with vertices B (9, 4) and C (3, 9).
What are the coordinates of vertex A?
Enter your answers in the boxes.
Answers
Answer:
A (3, 4)
Step-by-step explanation:
A has to be positioned horizontally along B. This means its x coordinate is the same as x-coordinate of B which is 4
A also has to be positioned vertically below C. This means its y coordinate is the same as the y-coordinate of C. So y-coordinate of A is 3
So coordinates of A are (3, 4)
If a die cast rally car drove 81 meters per second, how long did it take for it to go 90 meters. Round your answer to the nearest HUNDREDTH.
Answers
Answer:
The car took 1.11 seconds to go 90 meters.
Step-by-step explanation:
Set up an equation:
Variable x = number of seconds to travel 90 meters
81 meters/1 second = 90 meters/x seconds
Take out the variables for now to focus on calculations:
81/1 = 90/x
Cross multiply:
81 × x = 1 × 90
81x = 90
Divide both sides by 81:
x = 1.111111111... seconds
Round to nearest hundredth (hundredth is the second decimal place):
x = 1.11
the distance from the earth to the sun is about 93,000,000 miles. how many pennies would it take to make a stack that high? can someone please help me with this? i need to get it done, please show work!!! ill give brainliest
Answers
Answer:
84,480 Pennies
Step-by-step explanation:
I hope this helps!
Answer:
7.8billion to the 12th power.
Step-by-step explanation:
ok, so 84,480 pennies make up one mile stacked. so timesing 84,480 by 93,000,000 equals 7.85664e+12 so, i guess it would be 7.8billion to the 12th power. i hope this helps. if i am wrong i am so sorry.
If a radius of a sphere is divided by 2, will the surface area be divided by 2?
Answers
If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2.
So the surface area becomes 4-fold or the increase in surface area is 300%.
i need help with this
Answers
You pick a card at random. 6 7 8 9 What is P(divisor of 70)? Write your answer as a percentage. %
Answers
Answer:
Step-by-step explanation:
A manager of a concession stand buys 96 bottles of water for a total of $19.20. Each bottle of water is sold for $1.75. How much profit does the manager make?
A. $0.20
B. $1.55
C. $148.80
D. $187.20
Answers
Working-
96 times 1.75= 168
168 minus 19.20 = 148.80
slope 2
.........................................................
screenshot 1: question
screenshot 2: answer options
thx
Answers
Answer:
A/m=-2. since x goes up by 2 on the table, y decreases by 4 on the table, but if the next part of x on the table was 6, then y would be -2.
What is the mode of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
Answers
The mode is the most frequent or most occurring value. The value 17 shows up the most times, at two times, so this is the mode. The value 19 is not even part of the given set of values, so you can immediately cross of choice A.
Side note: it is possible for a set to have more than one mode, and it's also possible to not have a mode at all.
Answer:
17
Step-by-step explanation:
It's the only number that repeats and I also took the test :)
find the lmc of 10 and 15
Answers
Answer: If you mean LCM, the LCM of 10 and 15 would be 30.
Step-by-step explanation:
The LCM of two non-zero integers, x(10) and y(15), is the smallest positive integer m(30) that is divisible by both x(10) and y(15) without any remainder.
8th grade math i mark as brainliest
Answers
Answer:
We start with 4 cards. The probability of picking the 4 is 1/4. That card is put back, so we again have 4 cards. The probability of picking the 6 (the number greater than 5) is 1/4.
Therefore, the probability of picking a 4 and then a 6 is (1/4)(1/4) = 1/16.
Answer:
1/16
Step-by-step explanation:
2, 3, 5, 9, 17, 22, 31, 39
Regina kept track of the points she scored during her team’s first eight basketball games. What is Regina’s mean score?
Responses
A 3939
B 1616
C 3737
D 1313
E 17
Answers
Answer:
Mean = 16
Step-by-step explanation:
MEAN can be find bg the sum of all score divided by the amount of the score.
Mean = total amount / number of amount
Total amount = 2 + 3 + 5 + 9 + 17+ 22 + 31 + 39
= 128
number of amount = 2, 3, 5, 9, 17, 22, 31, 39
= 8
Then we can calculate mean as
Mean = 128/8
Mean = 16
2+3+5+9+17+22+31+39=128
128/8=16
The diameter of the cracker shown is 35 millimeters.
Which measurement is closest to the area of the cracker in square millimeters?
A 781.751 mm²781.751 mm²
B 109.9 mm²109.9 mm²
C 961.625 mm²961.625 mm²
D 54.95 mm²
Answers
C
Step-by-step explanation:
Diameter = 35 mm
Radius = 35 ÷ 2 = 17.5 mm
Area = pi × r² = pi × 17.5² = 962.112
The closest one is C
3/4x+5-1/2x=3 what’s the value of x
Answers
Answer:
x= -8
Step-by-step explanation:
Answer:
x= -8
Step-by-step explanation
HEEELLPPPPP QUICKK!!!!!
Answers
Answer: 75%
Step-by-step explanation: most numbers seem to repeat so it might happen more often
What is the first step in determining if 6 is a solution to 3 x = 18?
A: Substitute 6 for x in the equation.
B :Rewrite 3 x as 36.
C: Multiply 3 and 18.
D: Divide 6 by 3.
Answers
Answer:
I think its A. Im sorry if its wrong
Step-by-step explanation:
The area of triangle ABD is 50cm, and one of its sides is 10cm in length. Find one of the heights of the triangle.
Answers
Answer:
10cm
Step-by-step explanation:
If you want to find one of the heights of the triangle, you need to use some math magic. The magic spell is:
A = (1/2) * b * h
where A is the area, b is the base, and h is the height. Don't ask me why, it just works.
Now, we know that the area of triangle ABD is 50 cm and one of its sides is 10 cm. We can pretend that this side is the base of the triangle. Why? Because it makes our life easier. Trust me.
Then we put these numbers into the magic spell and we get:
50 = (1/2) * 10 * h
Now we need to solve for h, which is the height we want. To do that, we need to do some algebra. Don't worry, it's not that hard. Just follow these steps:
- Multiply both sides by 2. This gives us:
100 = 10 * h
- Divide both sides by 10. This gives us:
10 = h
- Celebrate! We found the height!
So, one of the heights of the triangle is 10 cm. Isn't math fun?
Area of triangle = 1/2 × base × height
We know the area of the triangle is 50 cm², and one of the sides (which is also the base) is 10 cm. Let's substitute these values in the formula and solve for the height:
50 = 1/2 × 10 × height
Multiplying both sides by 2, we get:
100 = 10 × height
Dividing both sides by 10, we get:
height = 10 cm
Therefore, the height of triangle ABD is 10 cm.
Mackey invested some money in an account paying 6% interest for one year. She invested $1000 more than this amount in an account paying 8.5%. How much did she invest in total if the total interest earned in the year was $737.50?
Answers
Step-by-step explanation:
Let's assume the amount Mackey initially invested in the 6% account is x dollars.
According to the given information, Mackey invested $1000 more than x in the 8.5% account, which means she invested (x + $1000) dollars in that account.
The total interest earned from the 6% account would be 0.06x dollars, and the total interest earned from the 8.5% account would be 0.085(x + $1000) dollars.
The total interest earned in the year is given as $737.50, so we can set up the equation:
0.06x + 0.085(x + $1000) = $737.50
Simplifying the equation:
0.06x + 0.085x + 0.085($1000) = $737.50
Combining like terms:
0.145x + $85 = $737.50
Subtracting $85 from both sides:
0.145x = $737.50 - $85
0.145x = $652.50
Dividing both sides by 0.145:
x = $652.50 / 0.145
x ≈ $4500
Therefore, Mackey initially invested approximately $4500 in the 6% account, and she invested $1000 more, which means she invested a total of $5500.
$4500
$4500
$4500
$4500