im not sure on the full awnser.
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.
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.
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
Write an equation for the nth term of the arithmetic sequence –1, –3, –5, –7,
Answer:
[tex]a_n=-1+(n-1)(-2)[/tex]
Step-by-step explanation:
The arithmetic sequence formula looks like this:
[tex]a_n=a_1+(n-1)d[/tex]
where aₙ is the nth term, a₁ is the first term, n is the index, and d is the common difference.
Each consecutive term is decreased by 2 over the last, so d = 2. The first term is -1 of course, so you can write this equation:
[tex]a_n=-1+(n-1)(-2)[/tex]
Just to confirm:
[tex]a_n=-1+(n-1)(-2)\\a_3=-1+(2)(-2)\\a_3=-1-4\\a_3=-5[/tex]
And it works, -5 is the 3rd term in the sequence.
Answer:
[tex]a_{n}[/tex] = 1 - 2n
Step-by-step explanation:
The nth term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = - 1 and d = a₂ - a₁ = - 3 - (- 1) = - 3 + 1 = - 2 , then
[tex]a_{n}[/tex] = - 1 - 2(n - 1) = - 1 - 2n + 2 = - 2n + 1 = 1 - 2n
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
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
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
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
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
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
Which equation is linear? y=x4 y=xy –x3 ОООС f(x) = 3х + 1 y=xУ
Answer:
f(x) = 3х + 1
Step-by-step explanation:
A calculator is selling for $80 with an 8.5% tax. How much will you pay in tax for the calculator?
Answer:
$86.80
Step-by-step explanation:
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
THE SIDES OF A TRIANGLE ARE IN THE RATIO 4:4:3. A.WHAT KIND OF TRIANGLE IS IT? B. CALCULATE THE SMALLEST ANGLE OF THE TRIANGLE TO THE NEAREST DEGREE.
Answer:
1
Step-by-step explanation:
Can someone help with question #4 please
Answer:
4,0 is the right ok I am a professor
In the equation y ≈7x-9,if x≥2, then what is the value of y?
Answer:
y[tex]\geq[/tex]5
Step-by-step explanation:
7(2)-9
14-9
5
y[tex]\geq[/tex]5
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
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
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 :-)
Line l is a reflection in the x-axis of line k. Write an equation that represents line k.
Answer:
(-4,3)
Step-by-step explanation:
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Answer: y = (5/3)x + -1
Step-by-step explanation:
The slope is -5/3, so since its a reflection in the x - axis, the new slope would be the opposite, 5/3. Now for the +1, you just have to find the y intercept by plotting the dots at the opposite version of the y number that is already there. For example because the point (0,1) has 1 as its y number, you make it into -1, and for example if you have the point (3,-4) since -4 is the y number you change it to 4.
7.
Identify the vertex of the parabola.
A. (1, 2)
B. (−2, −1)
C. (−1, −2)
D. (−3, 2)
Answer: I can't find the answer :(
B. (−2, −1)
Step-by-step explanation: I don't know :(
From when I am looking at the graph it looks like the answer would be
P= (-2, -1)
Q= (1, -2)
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
what is the area of the triangle?
Estimate the quotient for 608 divided by 23
Answer:
18
Step-by-step explanation:
Answer:
30
Step-by-step explanation:
When estimating we round to the nearest 1.s.f
Thus...
608 rounded to the nearest 1sf
= 600
and....
23 rounded to the nearest 1sf
=20
Therefore- 600÷ 20 = 30
Hope this helped you- have a good day bro cya)
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:
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:)
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35 find the cost of the tie
Using linear system of equations, the cost tie is £7.43.
Linear equations -In everyday life, we can utilize linear equations to compare prices, make predictions, create budgets, and more. When all of the variables have a highest power of one, an equation is considered to be linear. Each variable is reliant on the others. A one-degree equation is another name for this kind of equation. Continue reading to learn how to solve a linear equation in one or two variables using its standard form, formula, graph, and rules.
Given,
Haala buys 13 identical shirts and 22 identical ties for £363.01 the cost of the shirt is £15.35,
According to question,
let cost of shirt = x
cost of tie = y
Now putting it in the equation,
13x + 22y = 363.01
given x = 15.35
⇒ y = 363.01 - 13(15.35) / 22
y = 363.01 - 199.55 / 22
y = 7.43
To learn more about linear system of equations from given link
https://brainly.com/question/25858757
#SPJ1
In a triangle, the exterior angle is twice of each of the interior opposite angles. The exterior angle is 120°.Find the measure of each interior opposite angle of the triangle.
Pls no Spam. 35 points is the prize
Answer:
Let X be other interior opposite angle of a △XYZ.
Let Y be the third angle.
Exterior angle is equal to sum of interior opposite angles.
120
o
=30
o
+∠X
⇒∠X=90
o
Now, Sum of interior angles of a triangle is 180
o
⇒90
o
+30
o
+∠Y=180
o
⇒∠Y=180
o
−120
o
=60
o
Step-by-step explanation:
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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%.
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