Answer:
D; $4,250
Step-by-step explanation:
Here, we want to know the amount that was invested in the 5% account
We proceed as follows;
Let the amount invested in the 5% interest account be $a and the amount invested in the 8% interest account be $b
We have it that the total investment amount is $11,000
Mathematically, since total is 11,000; we can add a and b to give this
a + b = 11,000 •••••••••(i)
Now, let us work with the interests
Interest earned will be;
Percentage of interest * Amount invested
For the 5% interest account, the interest earned will be;
5/100 * a = 5a/100 = 0.05a
For the 8% interest account , the interest earned will be;
8/100 * b = 0.08b
By adding the interests on both account, we can get the total amount of interest earned
We can have this as;
0.05a + 0.08b = 752.50 •••••(ii)
From equation i above;
b = 11,000 - a
Substitute this into ii
0.05a + 0.08(11,000-a) = 752.5
0.05a+ 880 - 0.08a = 752.5
0.08a-0.05a = 880-752.5
0.03a = 127.5
a = 127.5/0.03
a = $4,250
Sally's job pays her $30 per hour.
If Sally works 6 hours, how much money would she earn?
I
Answer:
$180
Step-by-step explanation:
If Sally's job is paying her $30 PER HOUR, and we know that she works 6 hours, you would need to find how to put those two numbers together to get how much total money she earns. Since she gets 30 dollars per hour, and she works 6 hours, this hints to us that it is a multiplication problem. So, we would do 30×6= 180.
Given side lengths 4 units, 8 units, and x units, determine the range in which x must lie in order for a triangle to exist.
A)
X > 12
B)
0 < x <4
-4 < x < 0
D)
4 < x < 12
Answer:
C) 4 < x < 12
Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?
Answer:
1) The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Please find attached the required graph of the two inequalities ,created with Microsoft Excel
2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread
Step-by-step explanation:
1) The maximum number of loaves Larissa plans to make = 10
The price at which she sells each of x loaves of banana bread = $1.25
The price at which she sells each of y loaves of nut bread = $1.50
The total amount she hopes to make = $24
The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Making y the subject of both inequalities gives;
For the first inequality, we have,
y ≥ 24/1.5 - 1.25/1.5·x which gives;
y ≥ 16 - 5/6·x
For the second inequality, we have,
y ≤ 10 - x
Please find attached the required graph of the two inequalities
2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.
8. 1/6 + (-7/9)
9. 11 5/7 + 8 1/7
10. 3/12 x 4/21
The temperature is 2 ∘F and drops to −15 ∘F overnight. Write and then evaluate a subtraction expression to determine the change in temperature.
Answer:
Expression: 2 - (-15)
17 degree change in temperature
Step-by-step explanation:
2 - (-15)
2 + 15
17
Cookies are on sale! Today each cookie costs $0.75 less than the normal price. Right now if you buy 7 of them it will only cost you $2.80!
Write an equation to determine the normal price of each cookie (c)
Find the normal price of each cookie.
Answer:
$1.35
Step-by-step explanation:
divide $2.80 by 7 ($0.40)then add $0.75 Which equals $1.35
level 2 record the letters in your triangle from left to right
Answer:
EGBFDHAIC
Step-by-step explanation:
Lol i did this before hope this helps!!
Please help me!!! Pick the correct answer choices!!!
Answer:
1.C
2.A
Step-by-step explanation:
hope this helps. {ps please give brainliest :)}
Michelle is debating between two different mortgages for $184,000. She found a 20-year fixed rate loan at 7.05% and 15-year fixed rate loan at the same rate. How much more interest will she pay for the 20-year loan versus the 15-year loan?
9514 1404 393
Answer:
$45,081
Step-by-step explanation:
The amortization formula can be used to find the monthly payment.
A = P(r/12)/(1 -(1 +r/12)^(-12t))
For the 20-year loan with r=0.0705 and P=184,000, the monthly payment is ...
A = $1432.08
The total amount repaid will be ...
12×20×1432.08 = 343,699.20
__
For the 15-year loan with the same parameters, the monthly payment is ...
A = 1658.99
and the total amount repaid is ...
12×15×1658.99 = 298,618.20
The difference in these repayment amounts is the difference in interest charges:
343,699.20 -298,618.20 = 45,081
The 20-year loan will cost $45,081 more than the 15-year loan.
Ashley had a summer lemonade stand where she sold small cups of lemonade f
or $1.25 and large
cups for $2.50. If Ashley sold a total of
155 cups of lemonade for $265, how ma
ny cups of each
type did she sell?
Answer:
$267.7
Step-by-step explanation:
-11/12 - (-5/12) (I tried to answer it, but when I tried to divide I just got another improper fraction, please help)
Answer:
-11/12 + 5/12
-11+5/12
-6/12
-1/2
Answer:
-6/12
Step-by-step explanation:
1. Change the signs. Two negatives make a positive.
-11/12 + 5/12
2. Add them together.
-6/12
3. Simplify
-1/2
can someone help me please serious people only
Answer:
Don't let people bring you down you got this
Step-by-step explanation:
Which of the following equations is equivalent to 4x -y=3`?
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
Y’all I need it by today please
Find the equation of the quadratic function y = ax^2+ bx + c which
passes through the points (-1, 9), (2, 3), and (5, 15).
Answer:
y=(x-1.5)^2+2.75
Step-by-step explanation:
Hope I could help!
A ball is dropped from a certain height. The table shows the rebound height of the ball after a series of bounces.
From what height, approximately, do you think the ball was dropped? Explain or show your reasoning.
Answer:
50
Step-by-step explanation:
becasue
A car wash detailed 256 cars in 8 hours. At what rate did the car wash detail
cars in cars per hour?
O A. 31 cars per hour
O B. 33 cars per hour
O C. 32 cars per hour
O D. 30 cars per hour
1. Karen had 15 Snicker Bars. She gave 7 to her brother. What percent did
she give away?
Answer:
46%
Step-by-step explanation:
Have a wonderful day/night!
Answer:
46.666666666667%
Step-by-step explanation:
Thats the percent she gave away
If we already know that XY=WZ, which additional fact would prove that quadrilateral WXYZ is a parallelogram?
Answer:
WX=ZY would prove that the quadrilateral WXYZ is a parallelogram
Step-by-step explanation:
The additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.
Given
If we already know that XY=WZ,
What is parallelogram?A Parallelogram is a four-sided quadrilateral whose opposite sides are parallel and congruent to each other.
The opposite angles of a parallelogram are equal.
These bisectors intersect each other at 90 degrees.
And it means that they are perpendicular.
Since they are perpendicular, we find that there 4 congruent triangles, XY is parallel to WZ, and WX is parallel to YZ.
Additionally, opposite angles are equal.
These two latter findings are the characteristics of the parallelogram.
Hence, the additional fact that would prove that quadrilateral WXYZ is a parallelogram is '' XY = YZ''.
To know more about Parallelogram click the link given below.
https://brainly.com/question/10865912
Sterling got money for his birthday. He spent half of his money on a coat, $74 on sneakers, $42 for a pair of shoes, and had $77 left after shopping. How much money did Sterling get for his birthday?
Answer:
$112
Step-by-step explanation:
x/2+42= 77
x/2 = 35
x=70
70+42= $112
Audrey and chase are 22.5 miles apart on a path when they start moving towards each other. Chase friends and a constant speed of 6 mph, in Audrey works at a constant speed of 3 mph. How long does it take onto chase and Audrey meet?
Answer:
4 is a great place to be your
Step-by-step explanation:
I am not it 4455rrfrt9999999999 forver rip juice wrld
what is 5x + 3y = 12 written in slope intercept form
Answer:
y=4-5/3x
Step-by-step explanation:
Rearrange and simplify.
How many 1/5s are there in 8/10?
Please answer right away helpers!!!
The time is ticking by now.
4/5=8/10, therefore the answer is 4
Which is a correct expansion of the following expression?
18(x – 3) – 26
A. 18x – 80
B. 18x + 80
C. 18x + 28
D. – 62x
Answer:
A. 18x – 80
Step-by-step explanation:
18(x - 3) - 26
18x - 54 - 26
18x – 80
what should I do understand math better?
Answer:
U can join maths tution classes...✨✨As someone who used to fail math and now has straight Cs (not the best but nti is really hard). It really helped me to talk to others about issues I had and ask questions it may not seem like a lot but it really helped me.
what are the angle measurements of the triangle??
The diagram shows another 7-pointed star.
To draw it, the ant repeats the two steps 7 times.
In drawing this star, how many complete revolutions does the ant make before it reaches its
starting position?
Help me ASAP pls on these both questions to make sure if I’m right
Answer:
question 6 is false, 5.4. question 7 is false, 4.6
Step-by-step explanation:
Add all the numbers together, then divide by how many number of values there are to get your answer.
Write an equation in slope-intercept form for the line with slope −3 and y-intercept 2.
Answer: Y= -3x+2 is how you would write it according to the slope-intercept formula Y=MX+B
Step-by-step explanation: M being your slope
And B being your Y-Intercept
if f(x) =3/4x+5/6 what is f(12)
Answer:
59/6
Step-by-step explanation:
Multiply 3/4 with 1212 x 3 will become 36 and divided by 4 is 99 + 5/6 cannot be added because they do not have the same denominator. Next you have to multiply 9/1 with 6/6 so that it has the same denominator as 5/6The problem will now become 5/6 + 54/6Now you can add the numerators and get the answerThe answer is59/6Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
brainly.com/question/14279419
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