investing $27,000 in an account paying 7.25% interest compounded quarterly.
What will Jamie's account balance be in 14 years?
Answer:
$74,495.30
Jamie's account balance will be $73,828.74 after 14 years.
What is Compound Interest?
Compound interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on principal plus interest.
Here, Principal = $27,000
Rate of interest = 7.25% compounded quarterly
= 0.0725/4 = 0.018125 per annum
Time = 14 years or 56 quarters
Now, A = P(1+i)ⁿ
A = 27000(1+0.018125)⁵⁶
A = 27000 X 2.7343
A = 73828.74
Thus, Jamie's account balance will be $73,828.74 after 14 years.
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1. What is greater? 6 pounds and 11 ounces OR 117 ounces? 2. 3/4 tons = how many pounds? (Answer the ones u know!) pls help due in 4 mins
Answer:
1. Equal. 2. 1500
Step-by-step explanation:
6 x 16 = 96 + 11= 117
3/4 x 2000 = 1500
Permudahkan ungk
8a + 3b - 2a - b
Answer:
answer:8a + 3b - 2a - b
=8a-2a+3b-b
=6a+2b or 2(3a+b) is your answer
5.6(x - 3) = -0.4x + 19.2
Answer:
Step-by-step explanation:
Answer:
this is the answer hope it helps
Graph the line with slope - 2 passing through the point (1, -5).
Answer:
The graph is attached
Step-by-step explanation:
Answer:
y = -2x - 3
Step-by-step explanation:
**hopefully the picture helps it to make sense**
good luck
i hope this helps
brainliest would be highly appreciated
have a nice day!
2x+2y= 24
x=3y
What is the value of x+y?
Answer:
x = 9
y = 3
Step-by-step explanation:
2x + 2y = 24 is the same as x + y = 12
using substitution, x = 12-y
12 - y = 3y
12 = 4y
y = 3
x = 3(3)
x = 9
The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
The equation must be constrained with some constraints.
As per the given system of equations,
2x+2y= 24
x=3y
Take common 2 from 2x+2y= 24 as
2(x + y) = 24
Divide by 2 into both sides
x + y = 12
Hence "The value of x + y for the given system of equations 2x+2y= 24 and x=3y will be 12".
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PLS HELP CAN U DO B C D thanks
4 times a number minus 8.5 is at most 11.5.
Hi there! :)
Answer:
4/7 times 35, minus 8.5 is no more than 11.5
The number is : 35
Step-by-step explanation:
Let's replace "a number" by the letter "x" because that's what we are looking for.
4/7 × x = 4/7x
4/7x MINUS 8.5 = 4/7x - 8.5
The expression "no more than" is represented by this sign: ≤
"No more than" can also be "less than or equal to".
The final inequality should look like this:
4/7x - 8.5 ≤ 11.5
Now all you need to do is solve the inequality by isolating "x":
4/7x - 8.5 ≤ 11.5
Add 8.5 to each side of the inequality → 11.5 + 8.5 = 20
4/7x ≤ 20
Divide each side of the inequality by "4/7" → 20 ÷ 4/7 = 35
x ≤ 35
There you go! I really hope this helped if there's anything just let me know! :)
Find the equation of the line shown.
The equation of the line shown in the graph in point-slope form passing through the points (4, 1) and (0, 2) is,
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
Given that,
Graph of the equation of the line shown in the image.
Use the formula,
The equation of a line in point-slope form passing through the points
[tex](x_1 , y_1)[/tex] and [tex](x_2 , y_2)[/tex] with slope m is defined as;
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
Where, [tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
Let us take two points on the graph, which are (4, 1) and (0, 2).
Here, [tex](x_1 , y_1) = (4, 1)[/tex]
And, [tex](x_2 , y_2)= (0, 2)[/tex]
So, the slope of the line is,
[tex]m = \frac{(y_2 - y_1)}{(x_2 - x_1)}[/tex]
[tex]m = \frac{(2 - 1)}{(0-4)}[/tex]
[tex]m = \frac{1}{- 4}[/tex]
[tex]m = \frac{-1}{4}[/tex]
Therefore, the equation of the line with slope [tex]m = \frac{-1}{4}[/tex] is,
⇒ [tex]y - y_1 = m (x - x_1)[/tex]
⇒ [tex]y - 1 = \frac{-1}{4} (x - 4)[/tex]
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During the first week of registration, 35 people signed up for the Health Fair 5K and Fun
Run. The next week, 28 more people signed up. On the day of the race, 12 runners did not
show up. However, at the last minute 16 people came in for late registration. Which
expression shows how many people ran in the 5K and Fun Run
Answer:
The expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Step-by-step explanation:
Since during the first week of registration, 35 people signed up for the Health Fair 5K and Fun Run, and the next week, 28 more people signed up, and on the day of the race, 12 runners did not show up but, however , at the last minute 16 people came in for late registration, to determine which expression shows how many people ran in the 5K and Fun Run and determine said amount, the following calculation must be performed:
35 + 28 - 12 + 16 = X
79 - 12 = X
67 = X
Thus, the expression that shows how many people ran in the race is 35 + 28 - 12 + 16 = X, and the number of people that ran is 67.
Charlie took a test with two parts; Reading with 60 questions and Math with 40 questions. He scored 55% on the Reading part and 90% on the Math part. What is his overall percentage score, assuming each of the 100 questions has equal weight?
Answer:
10
Step-by-step explanation:
Create a graph to show your relationship. Make sure you include all the parts for a graph and show the data clearly. Include a title for the graph and label the x- and y-axes. Fast ill give so many points
Step-by-step explanation:
Hope this helped. X axis is horizontal and Y axis is Diagonal.
Help me please I need the help
Answer:
p - 3
Step-by-step explanation:
Key expression: 3 fewer than
Fewer than = subtract from
subtract 3 from a number, p
This means that the expression would be p - 3
Because you are subtracting 3 from a number ( p )
Given A(3, –7), under which reflection is A (3, 7)?
Answer:
reflection over the x-axis bc y changed
Step-by-step explanation:
CO Use the following coordinate plane to write the ordered pair for each point
Answer:
A. (0,4)
B. ( 0,-3)
C (-1,1)
Step-by-step explanation:
what is the mode for the following numbers 67 76 67 76 67 23 32 23 32
Answer:
67.
Step-by-step explanation:
67 appeared three times while everything else appeared only twice.
1. The graphs below represent functions defined by polynomials. For which function are the zeros of the
polynomials 2 and - 3?
Answer:
the second graph (c)
Step-by-step explanation:
The curve is passing through (0, 2) and (0, -3). Then the correct option is B.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The zeroes of the polynomial function are 2 and -3.
The number of zeroes is 2. Then the degree of the polynomial will be 2. So, the function is a quadratic function.
The zeroes of the function represent the x-intercepts. Then the curve is passing through (0, 2) and (0, -3).
Thus, the correct option is B.
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A family spends 1/10 of it's annual income for housing 1/4 for food and clothing 1/5 for general expenses and 2/15 for entertainment what fractional part of their income is spent on these items altogether.
Answer:
The family spends 41/60 of its income on these items altogether.
Step-by-step explanation:
Given that a family spends 1/10 of it's annual income for housing, 1/4 for food and clothing, 1/5 for general expenses and 2/15 for entertainment, to determine what fractional part of their income is spent on these items altogether the following calculation must be performed:
10, 4, 5, and 15 have a common least multiple at 60.
1/10 = 6/60
1/4 = 15/60
1/5 = 12/60
2/15 = 8/60
6 + 15 + 12 + 8 = 41
Therefore, the family spends 41/60 of its income on these items altogether.
Please help me I'm so bad at math and doing AFDA really doesn't help..
substitution of a,b,c in this equation
Answer:
2, 1 and -3
Step-by-step explanation:
Given the quadratic expression
x^2+2x = 3
Write in standard format
x^2+2x-3 = 0
Get the value of a, b and c
The standard form is ax^2+bx+c = 0
ax^2 = x^2
a = 1
bx = 2x
b = 2
c = -3
Substitute into the general formula
x = -b±√b²-4ac/2a
x = -2±√(2)² - 4(1)(-3)/2(1)
The correct values are the values in bold format
Convert the decimal 0.07 to a fraction.
Answer:
7/100
Step-by-step explanation:
two decimal places so 100
Write a quadratic function f whose only zeros are -3 and -12
Answer:
Step-by-step explanation:
f(x) = (x + 3)(x + 12)
f(x) = x^2 + 3x + 12x + 36
f(x) = x^2 + 15x + 36
please help!!!
Can you use Pythagorean Theorem to find the missing side of this triangle? Why or why not?
Answer and Explain, please.
Answer:
No, Pythagorean Theorem can't be used here for finding the missing sides of the triangle.
Because Pythagorean Theorem is used in triangles having one of its sides right angled but here in the diagram non of the sides of the triangle are right angled .
Answer:
NO
Because pythagorean Theorem is used to find the missing side in the triangle if the other sides are there
If you are facing South-west, you should turn ______degree anti-clockwise to face North ?
Answer:
You should turn 225 degrees anti-clockwise to face North.
LOTS OF POINTS!! AND ILL GIVE BRAINLIEST! i need help it keeps telling me i’m wrong and it's so stressful. what is the angle number for m
Orphia bought a coffee table for $200. The sales tax on the purchase was $19. Find the sales tax rate (in %).
Answer:
9.5%
Step-by-step explanation:
19/200=.095 or 9.5%
Jose earns $24.30 per hour teaching swimming lessons.
2
How much will he earn in 7.5 hours?
Answer:
$182.25
Step-by-step explanation:
You just times the per hour to the amount of hours. Hope this helps
The given line passes through the points and (4, 1).
On a coordinate plane, a line goes through (negative 4, negative 3) and (4, 1).
What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (, 3)?
9514 1404 393
Answer:
y +3 = 1/2(x +4)
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
m = (1 -(-3))/(4 -(-4)) = 4/8 = 1/2
The point-slope form of the equation for a line is ...
y -y1 = m(x -x1)
Filling in the known values, this is ...
y -(-3) = 1/2(x -(-4))
y +3 = 1/2(x +4)
Answer:
B
Step-by-step explanation:
gallon of
2
17. Mr. Jackson owns a vegetable juice stand. At the end of the day, he has
juice left. He pours an equal amount of the remaining juice mixture into 6 glasses.
What amount of juice does Mr. Jackson pour into each glass?
1
A.
gallon
12
B.
1
3
gallon
C. 3 gallons
D. 12 gallons
Answer:
12 gallons
Step-by-step explanation:
-2 (x + 3) i need help... do your thing
Answer: -3
-2x-6=0
-2x=6
x=-3
Step-by-step explanation:
Consider a taxi station where taxis and customers arrive in accordance with Poisson processes with respective rates of one and three per minute. A taxi will wait no matter how many other taxis are present. However, an arriving customer that does not find a taxi waiting leaves. Find the proportion of arriving customers that get taxis.
Answer:
The proportion of arriving customers that get taxis is:
= 33%.
Step-by-step explanation:
Rate of arrival of taxis = 1 per minute
In one hour, the number of taxis arriving = 60 (60/1)
Rate of arrival of customers = 3 per minute
In one hour, the number of customers arriving = 180 (60 * 3)
The proportion of arriving customers that get taxis = 60/180
= 0.333
= 33%
b) Since the taxis wait until they get a customer, it means that they will likely transport one out of 3 customers who arrive. Therefore, the proportion of arriving customers that get taxis is equal to 1/3 or 60/180, which is equal to 33%.
What is the value of:
(2 1/4)²
NEED ASAP
Answer:
2) 81/16
3) 27
Step-by-step explanation:
I used the free app photomath
