Answer:
After 12 years Bob will have $ 4,508.80 in his account.
Step-by-step explanation:
Given that Bob wants to invest his $ 3000 in an account that gets 3.4% interest rate compounded monthly, to determine how much money will he have after 12 years the following calculation must be performed:
3000 x (1 + 0.034 / 12) ^ 12x12 = X
3000 x (1 + 0.0028333) ^ 144 = X
3000 x 1.0028333 ^ 144 = X
3000 x 1.502932 = X
4,508.80 = X
Therefore, after 12 years Bob will have $ 4,508.80 in his account.
please help i am giving away brainliest
An aquarium has the dimensions shown in the diagram. What is the volume of the aquarium?
A. 3240 in.3
B. 432 in.3
C. 540 in.3
D. 6480 in.3
no dam links
Answer:
6,480in.3
Step-by-step explanation:
Hope this helps!
The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
What is rectangular prism?A rectangular prism is a prism whose bases (the top face and the bottom face) are also rectangles. It has 6 faces in all, out of which there are 3 pairs of identical opposite faces, i.e., all the opposite faces are identical in a rectangular prism. It has three dimensions, length, width, and height.
What is volume of rectangular prism?The volume of a rectangular prism is the space that is inside it .
The volume of the rectangular prism, V = Length * Breath * Height
According to the question
Length of the aquarium = 36 in.
Breath of the aquarium = 12 in.
Height of the aquarium = 15 in.
As aquarium is a rectangular prism
volume of the aquarium, = Length * Breath * Height
= 36 * 15 * 12
= 6480 [tex]in. ^{3}[/tex]
Hence, The volume of the aquarium is 6480 [tex]in. ^{3}[/tex]
To know more about rectangular prism here:
https://brainly.com/question/21308574
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Find 80% of 75 using a fraction.
Please help me and no linkd
Answer:
Um what’s the question?
Step-by-step explanation:
Answer:
*links* hope this helped!
Step-by-step explanation:
The board of a major credit card company requires that the mean wait time for customers when they call customer service is at most 4.50 minutes. To make sure that the mean wait time is not exceeding the requirement, an assistant manager tracks the wait times of 53 randomly selected calls. The mean wait time was calculated to be 4.94 minutes. Assuming the population standard deviation is 2.10 minutes, is there sufficient evidence to say that the mean wait time for customers is longer than 4.50 minutes with a 98% level of confidence?
1. State the null and alternative hypotheses for the test.
2. Compute the value of the test statistic.
3. Draw a conclusion and interpret the decision.
Answer:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic = 1.525
we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
Step-by-step explanation:
H0 : μ = 4.50
H1 : μ > 4.50
Test statistic :
(xbar - μ) ÷ s/sqrt(n)
(4.94 - 4.50) ÷ 2.10/ sqrt(53)
0.44 / 2.10/ sqrt(53)
= 1.525
α = 1 - 98% = 0.02
Decision region :
Reject H0 ; if Pvalue < α
Pvalue = p(Z < 1.525) = 0.936
Pvalue = 0.936
Since Pvalue > α ; We fail to reject H0
Hence, we conclude that there is no sufficient evidence to conclude that the mean wait time for customers is longer than 4.50.
there were 125 customers at walmart. 64% paid with a credit card;the rest paid with cash. how many paid with cash?
Answer:
45
Step-by-step explanation:
100-64 is 36. 36% paid with cash 125×35%=45 or 125×.36=45
$650 is invested in an account earning 8.6% interest (APR), compounded monthly. Write a function showing the value of the account after tt years, where the annual growth rate can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage of growth per year (APY), to the nearest hundredth of a percent.
Answer:
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that [tex]P = 650, r = 0.086, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 650(1 + \frac{0.086}{12})^{12t}[/tex]
[tex]A(t) = 650(1.0072)^{12t}[/tex]
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
Pleaseeeeeeeeeeeeeeeeeeeeeeeee
Answer:
2 terms
Step-by-step explanation:
I hope it will help you
x = 8 – 2y
x + 3y = 12
9514 1404 393
Answer:
(x, y) = (0, 4)
Step-by-step explanation:
Since we have an expression for x, substitution works nicely.
(8 -2y) +3y = 12 . . . . . . use the first equation to substitute for x in the 2nd
y = 4 . . . . . . . . . . . . subtract 8, collect terms
x = 8 -2(4) = 0 . . . . substitute for y in the first equation
The solution is (x, y) = (0, 4).
Triangle ABC what is the measurement of Angle C on degrees if Angle A is 32.8° and Angle is 80°.
Answer:
10.8°degrees
Step-by-step explanation:
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Oriole Rental Company provided the following information to its auditors. For the year ended March 31, 2017, the company had revenues of $876,223, general and administrative expenses of $352,479, depreciation expenses of $131,455, leasing expenses of $108,195, and interest expenses equal to $78,122. If the company's average tax rate is 34 percent, what is the cash flow from operating activity for Oriole Rental? (Round intermediate calculations and final answer to the nearest whole dollar, e.g. 5,275.) Cash flow from operation
Answer:
the cash flow from operation is $267,397
Step-by-step explanation:
Given that
Revenues be $876,223
General and admin expense $352,479
Depreciation expense $131,455
Leasing expense $108,195
Interest expense $78,122
Tax rate is 34%
We need to find out the cash flow from operation
As we know that
Cash flow from operation = (Revenue - general & admin expense - depreciation - leasing - interest) × (1 - tax rate) + depreciation
= ($876,223 - $352,479 - $131,455 - $108,195 - $78,122) × (1 - 0.34) + $131,455
= $205,972 × (1 - 0.34) + $131,455
= $267,397
Hence, the cash flow from operation is $267,397
Rewrite the polynomial 2x2 + x + +-7x + 1 in standard form.
Answer:
x-7x+5
Step-by-step explanation:
4+x-7x+1
x-7x+5
Find the length of each trapezoid.
Answer:
EF = 34
Step-by-step explanation:
(9x + 23)/2 = 6x + 4
9x + 23 = 12x + 8
3x = 15
x = 5
EF = 6(5) + 4 = 34
please help thanks
Answer:
7
Step-by-step explanation:
It adds 2 each time to the function. Y-Intercept is 1, so you add 2 three times.
2*3=6
6 plus the starting dog (1)= 7
I need help please don’t scam or no brainlist
Solve: -5 3/4 - 3 1/2=?
Answer:
-9.25 in decimal form
-9 1/4 :) in fraction form
hope this helps here is the explanation on how I got this answer :)!
therefor it will be the last answer :)
Step-by-step explanation:
-9.25
= – 9.25 × 100
1 × 100= –925
100
= – 925 ÷ 25
100 ÷ 25
= – 374
= – 9 1/4
A person invests $4,250 in an account that earns 5.25% interest compounded annually. let f(t) be the value in dollars of the account after t years. give an equation for f f(t)=______. what will be the value of the account after 5 years? round your answer to the nearest cent. $_______. after 10 years? round your answer to the nearest cent $______
Answer:
see the answers below
Step-by-step explanation:
Given data
P=$4,250
Rate= 5.25%
Time= t years
1. The compound interest expression is
A=4250(1+0.0525)^t
A=4250(1.0525)^t
2. P=$4,250
Rate= 5.25%
Time= 5 years
1. The compound interest expression is
A=4250(1+0.0525)^5
A=4250(1.0525)^5
A=4250*1.2915
A=$5488.875
3. P=$4,250
Rate= 5.25%
Time= 10years
1. The compound interest expression is
A=4250(1+0.0525)^10
A=4250(1.0525)^10
A=4250*1.6680
A=$7089
which scatterplot most likely has a line of best fit represented by y=-2x-1?
NO LINKS PLS
Answer:
The answer to your question is the letter C
Answer:
I think it is c
Step-by-step explanation:
HELP ASAP!! I will give brainlist! Thanks!
Answer:
C. Addition Property of Equality
Step-by-step explanation:
Given,
x - 6 = 4
To find x, the addition property of equality is applied by adding 6 to both sides.
Thus:
x - 6 + 6 = 4 + 6
x = 10
A leaf falls 18 feet from a branch to the ground at a rate of 5 feet every 2 seconds.
Determine whether each statement about the leaf is true. Select True or False for each statement.
True False
The initial height of the leaf is 18 feet.
The leaf falls at a rate of foot every 1 second.
The leaf is 3 feet above the ground after 6 seconds.
Answer:
The initial height of the leaf is 18 feet. (False)
The leaf falls at a rate of foot every 1 second. (False)
The leaf is 3 feet above the ground after 6 seconds. (True)
Garth can row 5 miles per hour in still water. It takes him as long to row 4 miles upstream as 16 miles
downstream. How fast is the current?
Answer:
The speed of the current is 3 miles per hour
Step-by-step explanation:
The equations for rate (r), distance (d), and time (t) are ⇒ d = rt, r = d/t, = t = d/r
Let x = speed in still water
Let c = speed of the current
The main difference with these problems is rate needs to be expressed using two variables because moving upstream the current is against you and downstream it moves with you.
Distance Rate Time
Upstream x − c
Downstream x + c
The distance column with the numbers from the problem and the value for speed in still water for x.
Distance Rate Time
Upstream 4 5 − c
Downstream 16 5 + c
The column for time using the other two columns knowing that rate, distance ⇒ time = Distance Rate Time
Upstream 4 5 − c
5 − c
4
Downstream 16 5 + c
5 + c
16
“It takes as long …” from the problem means that the two times are equal to each other. So, the equation can be written as:
4/5− c = 16/5 + c ⇒ Solve by cross-multiplying ⇒ 5(4 + c) = 16 5( − c) ⇒ c = 3
1
Write the equation of a circle whose center is at (-11,–8) and whose radius is 4.
Answer:
Step-by-step explanation:
[tex](x_c,y_c)=(-11,-8) \quad r=4\\(x-x_c)^2+(y-y_c)^2=r^2 \quad (x+11)^2+(y+8)^2=4^2[/tex]
6. Find the Volume of the Triangular Prism below:
A) 2145 ft to the 3 power
B) 1072.5 ft to the 3 power
C) 728 ft to the 3 power
D) 900 ft to the 3 power
Answer:B 1072.5 ft^3
Step-by-step explanation: The steps are in the picture
I git dune wif this in 3 minits
782+821=___
2x2=___
Answer:
♡♡♡♡♡♡♡♡♡♡♡♡
Step-by-step explanation:
782 + 821 = 1,603
2 x 2 = 4
Find an equation of a line of best fit shown in the figure given below.
Answer:
C
Step-by-step explanation:
So you can use two points on the line to find the gradient. I used K and G. B and D could've been easily eliminated since the line goes through the origin (0,0) so there's no y - intercept or b value.
M = (Y-y)/(X-x)
M = (8-4)/(14-7)
M = 4/7
And the equation of a line is y = mx + b. There's no b so it's just y = (4/7)x
Select the correct answer.
When graphed, the three lines y = -x + 2, y = 2x − 1, and y = x − 2 intersect in such a way that they form a triangle.
What are the coordinates of the three vertices of this triangle?
A.
(2, 0), (0, 2), and (-1, -3)
B.
(0, 2), (2, 0), and (1, -1)
C.
(1, 1), (2, 0), and (-1, -3)
D.
(1, 1), (0, 2), and (-1, -3)
E.
(2, 0), (1, -1), and (-1, -3)
What is the area of the triangle 2,7,5-by the time you answer this I might already be done with this beck add all to slow to answer it-no hate tho :;
Answer:
5 units squared
Step-by-step explanation:
To find the area of a triangle, the formula is base * height/2
the base of this triangle is 2 while the height is 5
area = (2*5)/2
area = 5 units squared
........................
Answer:
.......................................................................................................................
Step-by-step explanation:
nice enjoy this picture of le doggo
5) A rectangular prism has a width of 2 cm, a height of 5 cm and a depth of 3 cm. What is the volume of the prism
Pls help ASAP!!!
Answer:
30 cm^3
Step-by-step explanation:
for find the volume we have to multiply the three numbers:
V = 5 x 2 x 3 = 30 cm^3
Please help me no links
At a sale this week, a table is being sold for $426. This is a 29% discount from the original price. What is the original price?
Answer:
$600
Step-by-step explanation:
Let x = og price
x - 0.29x = 426
0.71x=426
÷0.71 ÷0.71
x = 600