Suppose an annuity pays 7.0% annual interest, compounded annually. If you invest $3,000 every year for 5 years, what percentage of the balance in the account is interest earned?
Round your answer to the nearest hundredth of a percent.
Answer:
13.05%
Step-by-step explanation:
The value of an ordinary annuity earning interest compounded annually is ...
A = P((1 +r)^n -1)/r . . . . . interest rate r for n years on principal payments P
For this account, the balance after 5 years will be ...
A = 3000((1 +.07)^5 -1)/0.07 = 3000·5.750739
The sum of payments is ...
payment total = 3000·5
Then the amount of interest is ...
3000·(5.750739 -5) = 3000·0.750739
and the fraction that is of the account balance is ...
(3000·0.750739)/(3000·5.750739) × 100% ≈ 13.05%
About 13.05% of the balance is interest earned.
symbol. Write your answer in your notebo and اله 1. 7 is added to the sum of 7 3 2. 2 - subtracted from 11 is equal to 8 1 4 4 3. The total of 8 - and 11 7 14 1/2 and D
Answer:
X=5/2
4(x+2)2=36
(4x+8)2=36
8x+16=36
8x=36-16
8x=20
X=20/8
X=5/2
Step-by-step explanation:
Hope this helps:)
Keisha is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $100 and allows unlimited mileage.
Company B has an initial fee of $55 and charges an additional $0.90 for every mile driven.
For what mileages will Company A charge less than Company B?
Answer:
The mileages for which company A charge less than company B when , y 50 .
Step-by-step explanation:
Given as :
The two truck companies have following prices
Company A
The initial fee = i = $110
And unlimited mileage
Company B
The initial fee = I = $65
Additional charge = $0.90 per mile driven
Let it driven x mile
Let The mileages for which company A charge less than company B = y
Now, According to question
Charges of company A = charges of company B
i.e i = I + 0.90 × x
Or, $110 = $65 + 0.90 × x
Or, $110 - $65 = 0.90 × x
Or, $45 = 0.90 × x
∴ x =
i.e x = 50
i.e. Company B driven x = 50 miles
So, the mileages for which company A charge less than company B = y
And y x
i.e. y 50
Hence, The mileages for which company A charge less than company B when, y 50. Answer
Step-by-step explanation:
Hope this helps:)
The final velocity V of an object
Answer:
The final velocity, V, of an object under constant acceleration can be found using the formula V2=v2+2as , where v is the initial velocity in meters per second, a is acceleration in meters per second, and s is the distance in meters.
help me plz im desperate
Answer:
B) y = 2x - 3
Step-by-step explanation:
We can determine which equation the line follows by checking the y-intercepts of each equation. The line passes through the point (0, -3) - this is the y-intercept of the line. The y-intercept in an equation is the single value after the slope. So, for example, in a line y = mx + b, b is the y-intercept.
For A, our y-intercept is (0, 2). For B, our y-intercept is (0, -3). For C, our y-intercept is (0, 3). For D, our y-intercept is (0, -2). So which one matches our line? It would be B, since both have a y-intercept of (0, -3).
So, that's our answer. If you need more help, let me know! :)
Answer: B
Step-by-step explanation:
The slope is 2 as it shown rise (2) over run (1)
Y-intercept is -3
Brooklyn has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $20 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 5 hours at the grocery store and 11 hours at the nursery? How many total hours does she work if she does gg hours at the grocery store and nn hours at the nursery?
Answer:
~$331 - *16 hours
Step-by-step explanation:
~ $20x5=$100
~ $21x11=$231
~ $231+$100=$331
* 5+11=16
If x−3=5, what is the value of 2(x+4)?
Answer:
24
Step-by-step explanation:
x-3=5, solve for x so that x=5+3
now put this in place of x in the expression 2(x+4)
2[(5+3)+4]
2(8+4)
2(12)
24
Write the prime factorization of 185.
Answer:
5 ⋅ 37
Step-by-step explanation:
185 has factors of 5 and 37.
Answer:
Step-by-step explanation:
All Factors of 185: 1, 5, 37 and 185.
Negative Factors of 185: -1, -5, -37 and -185.
Prime Factors of 185: 5, 37.
Prime Factorization of 185: 5^1× 37^1
Sum of Factors of 185: 228.
Team A beat Team B by 15 points in a football game . If a total of 35 points were scored , what was the final score of the game ?
I WILL MARK YOU A BRAINLIEST
Answer:
25-10 (25 - A and 10 - B)
Step-by-step explanation:
25 - 10 equals the 15 point margin
25 plus 10 equals the 35 point score combined
Hope it helps
A shirt that normally cost $30 is on sale for $21.75 what percent of the regular price is the sale price
Answer: 72.5%
Step-by-step explanation:
I used trial and error to figure this out.
I first found a quarter of 30 which is 7.5, so the percentage is near 75% since when 7.5 is times by 3 it becomes 22.5 which is close. Then I found what one is by dividing 30 by 100 and guessed the percentages getting closer to the answer basing on whether my last answer was to low or high and found 72.5% of 30 is 21.75 so the answer is 72.5%.
(1 point) In how many ways can 3 different novels, 2 different mathematics books, and 1 biology book be arranged on a bookshelf if (a) the books can be arranged in any order
Answer:
3 ways
Step-by-step explanation:
three ways it can be arranged on the bookshelf three different novels, two different mathematic, books 1 Biology book are 1 Biology book, two different mathematic books, three different novel books are two different mathematic books three different novel books 1 Biology book arranged on the bookshelf if a the book can be arranged in any order
Original price of shorts $53.95 Discount 30% Tax 4.5?
Please help what’s the correct answer ???
Answer:
72.8325
Step-by-step explanation:
I think it is that
A is the point with coordinate (2,10)
B is the point with coordinate (5,d)
The gradient of the line AB is 4
Work out the value of d
Answer:
d = 22
Step-by-step explanation:
Substitute given slope and A to the equation y = mx + b to find b
y= mx + b
10 = 4.2 +b
10 = 8 + b
10 - 8 = 8 - 8 + b
b = 2
Then we have y = 4x + 2 when we substitute b and m.
They give x value of point B, we can plug it in and find y value which is d in this question.
y = 4x + 2
y = 4.5 +2
y = 22
Therefore, d = 22
Use the following function rule to find f(3) f(x)=3(4)^x+2
Answer:
3f×16=36
Step-by-step explanation:
f(x)=2x×fx
(substitute
=3f×16
=36f
HELP ASAP
In math class, the girl to boy ratio is 8 to 6. If there are 24 girls in the class, how many boys are there?
A
20
B
30
C
18
D
16
Answer:
C 18
Hope this helps
what is improper fraction
help me please
Answer:
a fraction in which the numerator is greater than the denominator, such as 5/4.
Step-by-step explanation:
A fraction consists of a Numerator and a Denominator. The numerator tells how many parts out of all are there. The denominator tells how many total parts are there. A fraction in which the numerator is greater than the denominator is called an improper fraction.
Hope it helps!
Please mark me as Brainliest!
Richard and Teo have a combined age of 36 Richard is 6 years older than twice Teo's age. How old are Richard and Teo?
Richard is years old, and Teo is years old.
(Type whole numbers.)
Answer:
Richard is twenty-six and Teo is ten.
Step-by-step explanation:
Let x = Richard's age and y = Teo's age
x = 2y + 6
(2y + 6) + y = 36
3y + 6 = 36
-6 -6
3y = 30
y = 10
x = 2(10) + 6
x = 20 + 6
x = 26
Richard is 26
Teo is 10
Angel invests money in an account paying simple interest. He invests $110 and no money is added or removed from the investment. After one year, he has $115.50. What is the simple percent interest per year?
Answer:
5%
Step-by-step explanation:
First let's find the interest,
$ 115.50 - $ 110
= $ 5.5
Now let's use this formula to find the simple percent interest.
Simple interest = P × r × t / 100
Here,
P = Principle
r = rate
t = time
Let us find now.
[tex]5.5 =\frac{P *r*t}{100} \\5.5 = \frac{110*r *1}{100} \\550=110r\\\frac{550}{110} =\frac{110r}{110} \\5=r[/tex]
Therefore, the percentage is 5%
Hope this helps you.
Let me know if you have any other questions :-)
Carl is planting an herb garden. If his garden has 3 rows and he can plant 3 herbs in a row, how many herbs can he grow?
Answer:
He can grow 9 herbs.
Step-by-step explanation:
3rows x 3plant herbs per row = 9 herbs to grow
Hope this helps :)
Jenna's basketball team is behind by eleven points. If their team makes a three-point shot, they will need to score
another
polnts to tie the game.
zero
fourteen
eight
eleven
Answer:
8
Step-by-step explanation:
11-3=8
11-3=8 must subtract for anser
A principal is choosing between two field trips. The first cost $240 plus $40 per student. The second costs $600. For what number of students is the first trip more expensive than the second?
Answer:
If there are 9 students attending then both field trips will cost the same. If there are more than 9 students attending then the second one cost cheaper.
Step-by-step explanation:
240 + 40x = 600
- 240 -240
40x = 360
40x/40 = 360/40
x = 9 students
Use the commutative property to simplify the expression 1/8 x 2/5 x 16?
A. 16 x 1/8 x 2/5 = 2x 2/5 = 4/5
B. 2/5 x 1/8 x 16 = 2/40 x 16 = 3/4
C. (1/8 + 2/5) x 16 + 32/5
D. 1/8 x (2/5 x 16) = 2/5
Violet is playing a board game with her friends. She earned 78 points during the game, and she receives a game-end bonus for achieving her secret objective. With her bonus, Violet came in second place with 91 points. Let b be the number of points Violet earned for the game-end bonus. Write and solve the equation for b.
Answer:
78 + B = 91...
91 - 78 = B
91 - 78 = 13
B = 13
Step-by-step explanation:
Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
orange divide by 3?
Step-by-step explanation:
looking at the graph, it looks like orange is 3x the length of black,
so black will be Orange/3
what is the area of the triangle?
Pls sove brailest will be given
Answer: 6a3b3
Step-by-step explanation:
Reformatting the input:
Changes made to your input should not affect the solution:
(1): "0.6" was replaced by "(6/10)".
STEP 1:
Equation at the end of step 1
6
0-(((——•(a2))•b)•(0-(2•5ab2)))
10
STEP 2:
3
Simplify —
5
Equation at the end of step 2:
3
0 - (((— • a2) • b) • ( -2•5ab2))
5
STEP 3:
Equation at the end of step 3
3a2
0 - ((——— • b) • ( -2•5ab2))
5
STEP 4:
Multiplying exponential expressions :
4.1 a2 multiplied by a1 = a(2 + 1) = a3
Multiplying exponential expressions :
4.2 b1 multiplied by b2 = b(1 + 2) = b3
Canceling Out:
4.3 Canceling out 5 as it appears on both sides of the fraction line
Equation at the end of step 4:
0 - -6a3b3
STEP 5:
Final result :
6a3b3
Arrange the following fractions in ascending order 2/3 3/5 5/6
Answer:
Greatest to Least
5/6 > 2/3 > 3/5
Least to Greatest
3/5 < 2/3 < 5/6
Find the perimeter of the figure
Answer:
51 miles
Step-by-step explanation:
perimeter is distance around the outside of figure.
there are three sides with 17 mi. That means the perimeter is 51 miles
Find AC. FIND X USING THE PICTURE. BELOW. WILL MARK BRANLIEST FOR FIRST ONE TO ANSWER
Answer:
AC ≈ 50.5
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan29° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{28}{x}[/tex] ( multiply both sides by x )
x × tan29° = 28 ( divide both sides by tan29° )
x = [tex]\frac{28}{tan29}[/tex] ≈ 50.5 ( to the nearest tenth )
Answer:
50.5
Step-by-step explanation:
In the right triangle, focus on angle A. The side marked 28 is the opposite side, and the side marked x is the adjacent side. The trigonometric ratio that uses those two side is the tangent ratio.
tangent = (opposite) / (adjacent)
[tex]\tan{29^\circ}=\frac{28}{x}[/tex]
Multiply both sides by x.
[tex]x\cdot \tan{29^\circ}=28[/tex]
Divide by tan 29 degrees.
[tex]x=\frac{28}{\tan{29^\circ}}[/tex]
Use a calculator (in degree mode!) to approximate x.
[tex]x \approx 50.5[/tex]
3. Put your straightedge along this line. Draw this line as long as you can.
Why can't you make it longer?
The answer is 26 trust me I will be ur friend