Cary puts $500 into a savings account that earns 5.5% annually. The amount in her account can be modeled by C(t) = 500(1.055)t, where t is the time in years.
Write the expression best approximates the amount of money in her account using a weekly growth rate. (DO NOT ROUND ANY NUMBERS)
***Just need some clarification, it says there is annual growth rate but the question is asking that I change the function into weekly growth rate so...how do I do that?
Answer:
Answer: a) A(t)= $500(1.055)^t
b) Amount after 9 years A(9) = $809.55
Amount after 17 years A(17) = $1242.40
sorry if im wrong
Step-by-step explanation:
A basketball coach kept stats for his team in free throw percentage and steals (among others). At the last game, Erin's free throw percentage was 79% and she had 4 steals. The team averaged 87% from the free throw line with a standard deviation of 12 and they averaged 7 steals with a standard deviation of 3. In which category did Erin do better compared with her team
Answer:
Due to the higher z-score, she did better in the free throw category.
Step-by-step explanation:
Z-score:
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
In this question:
She did better in the category that she had the higher z-score:
Free-throws:
Her free throw percentage was 79%, which means that [tex]X = 79[/tex]
The team averaged 87% from the free throw line with a standard deviation of 12, which means that [tex]\mu = 87, \sigma = 12[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{79 - 87}{12}[/tex]
[tex]Z = -0.67[/tex]
Steals:
She had 4 steals, which means that [tex]X = 4[/tex]
Averaged 7 steals with a standard deviation of 3, which means that [tex]\mu = 7, \sigma = 3[/tex]. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4 - 7}{3}[/tex]
[tex]Z = -1[/tex]
Due to the higher z-score, she did better in the free throw category.
please help me im in deep need
Answer:
Its C
Step-by-step explanation:
because N and O would have been numerators but they are denominators
Lincoln purchased a new car in 2010 for $22,800. The value of the car was $14,100 in the year 2012, then what would be the predicted value of the car in the year 2014, to the nearest dollar?
Answer:
872
Step-by-step explanation:
The predicted value of $16,348 for the car in 2014.
What is the depreciation rate?The depreciation rate is the percentage rate at which an asset is depreciated over its projected useful life.
Given,
The car was purchased for $22,800 in 2010.
The value of the car was $14,100 in 2012.
The time elapsed between 2010 and 2012 is 2 years, so we can calculate the annual depreciation rate as follows:
depreciation rate = (purchase price - value after 2 years) / (purchase price x 2 years)
= (22,800 - 14,100) / (22,800 * 2)
= 0.0798 or 7.98%
This means that the car depreciates by approximately 7.98% of its value per year. To predict the value of the car in 2014, we can use this rate to calculate the value after 4 years (since 2010):
value after 4 years = purchase price x (1 - depreciation rate)⁴
= 22,800 x (1 - 0.0798)⁴
≈ 16,347.97
Rounding this to the nearest dollar gives us a predicted value of $16,348 for the car in 2014.
Learn more about the depreciation rate here:
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DON AND 3 FRIENDS SHARE 2 sandwiches at lunch which equation can be used to find out how much sandwich each person gets at the sandwich are shared equally
A. X= 4÷2
B. X= 2 ÷4
C. X= 1÷3
D. X= 1÷4
Kevin made 4 of his 6 shots on goal at soccer practice if he continues to shoot in the same manner throughout the practice how many shot would he make out of 72
PLS HELP! WILL GIVE BRAINLIEST!
A test is worth 60 points. Multiple choice questions are
worth 2 points, and
short-answer questions are worth 5 points. If the test has
15 questions, how
many multiple-choice questions are there?
A. m+ s = 60
B. m+ s = 15
C. m:s= 15
D. 2m + 5s = 15
Answer:
2m + 5s = 15
I hope it helps.
have a great day.
Mark got 18 out of 25 questions correct on his science test. What percent of the questions did he get incorrect
Answer:
28%. mark got 28% WRONG
Step-by-step explanation:
another way to write 18/25 is 18 divided by 25. 18/25=0.72. 0.72 as a percentage is 72%. You are asking what percent he got wrong. 100%-72%=28%. Mark got 28% wrong/
Hi can you please help me with #11, & 12? Please show all your work.
Thank you in advance
9514 1404 393
Answer:
11. (-4, -1)
12. (2, 7)
Step-by-step explanation:
The midpoint is the average of the end point coordinates. For segment AB, the midpoint M is ...
M = (A+B)/2
If you have A and M, you can find the other end point B from ...
2M = A+B . . . . multiply the above equation by 2
B = 2M -A . . . . subtract A from both sides
__
11. The midpoint (M) is ...
M = ((-1, 2) +(-7, -4))/2 = (-1-7, 2-4)/2 = (-8, -2)/2
M = (-4, -1)
__
12. The missing end point is ...
Z = 2Y -X
Z = 2(-4, 8) -(-10, 9) = (2(-4)+10, 2(8) -9)
Z = (2, 7)
The table shows interest owed for a home improvement loan based on how long it takes to pay off the loan.
a. How much more interest is owed on $900 (ignore the AED) for 9 months than for 6 months?
b. Does the interest rate increase at a constant rate?
(Please answer quick! Don't go to other answers and copy and paste or put something that isn't even about this, I really need help! Thank you.)
Answer:
its soooooooo long make it shorter i need toknow it shorter
Step-by-step explanation:
in which graph is y a linear function of x will mark brainest ty so much
a? I'm unsure abt this one
9. To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon. How much does Sam spend on fuel? Round to the hundredths place.
Answer:
$65.52
Step-by-step explanation:
y = mx + b
y = amount spent on fuel = ?
m = price per gallon = $3.90
x = gallons = 16.8
b is not needed for this problem
y = (3.90)(16.8)
y = $65.52
The amount of money that Sam spends on fuel will be $65.52.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
To fill up his fuel tank, Sam puts in 16.8 gallons of gas at $3.90 per gallon.
The amount of money that Sam spends on fuel will be given by the multiplication of the numbers 16.8 and 3.9.
⇒ $3.90 x 16.8
⇒ $65.52
The amount of money that Sam spends on fuel will be $65.52.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
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Write an equation of the line passing through the given points.
(3,-25) and (-3,5)
y=
Answer:
y = -5x -10
Step-by-step explanation:
This is the slope-intercept form:
[tex]y-y_{1} = m(x -x_{1})[/tex]
First, we look for the slope. The slope is found by using the equation:
[tex]m = \frac{y_{2}-y_{1} }{x_{2} -x_{1}}[/tex]
[tex]m = \frac{5 - (-25)}{-3 - 3} = \frac{30}{-6} = -5[/tex]
m = -5.
Now, given the two points, our y₁ is -25, and our x₁ is 3. Therefore, we substitute these values into the equation, and get:
y - (-25) = -5(x - 3)
y + 25 = -5(x - 3)
y + 25 = -5x + 15
y = -5x + 15 -25
y = -5x -10
Answer:
the answer to the problem is y= -5x - 10
3/5 TIMES 1/2 WHOEVER ANSWERES IN UNDER 2 MINUTS I WILL MARK BRAINLIEST AND ILL GIVE YOU EXTRA POINTS
Step-by-step explanation:
3/10 or 0.3
hope it helps:))!
Answer:
0,3
= 3/10
Step-by-step explanation:
thank you
i hope this helps
Marta drew a rectangular poster.
·The length of the rectangle was
2/3 of a yard.
·The width of the rectangle was
3/4 of a yard.
What was the area of Marta’s rectangle?
A. 1/2 yard
B. 5/12 yard
C. 5/7 yard
D. 1 5/12 yards
Answer:
1/2 yard
Step-by-step explanation:
Multiply the top numbers (the numerators). Which would give you 6.
Multiply the bottom numbers (the denominators). Which would leave you with 12.
Simplify the fraction if needed. 6/12 can be simplified down to 1/2
If the triangle has a base length of 8in and a total area of 32 in what is the height
4
a. In the box below, type a division sentence for this repeated subtraction sentence.
24 - y - y - y - y - y - y - y - y = 0
find x. and rounddddd
Answer:
X=117.9
Step-by-step explanation:
I got itttt
(PLEASE ANSWER ASAP ITS ALREADY LATE I WILL MARK BRAINLYIEST) Mohammad makes and sells jewelry. His monthly goal is to make a profit over $2,500. He sells each piece of jewelry for $25. He has a monthly fixed cost of $1,725. The inequality 25x+1,725>2,500 models this situation. which best describes the meaning of x in the inequality? A.) the number of pieces of new Mohammad must sell to reach his goal
B.) the profit made from 1 month of sales
C.) the profit made from selling 25 pieces of jewelry
D.) the number of pieces of jewelry that Mohammad must sell to recover his monthly fixed costs
Answer:
A
Step-by-step explanation:
It must be the amount he sells since each piece costs $25 and he must reach his goal
1. In the Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}, what is the value of Fs?
F5 = 5
F5 = 3
F5 = 8
O F5 = 13
NEED THIS ASAP
NEED A EXAM DONE WILL PAY
Answer:
f5= 5
Step-by-step explanation:
The value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.
What is the Fibonacci sequence?Fibonacci sequence is a sequence in which each number is the sum of the two preceding ones.
i.e.
[tex]F_n = F_{n-1} + F_{n-2}[/tex]
We have,
Fibonacci sequence {0, 1, 1, 2, 3, 5, 8, ...}
i.e.
F₁ = 0, F₁ = 1, F₂ = 1, F₃ = 2, F₄ = 3, F₅ = 5, F₆ = 8
Now,
We have to find the value of F₅,
Here, for n = 5,
i.e.
[tex]F_5 = F_{5-1} + F_{5-2}[/tex]
i.e.
F₅ = F₄ + F₃
So,
F₅ = 3 + 2
So,
We get,
F₅ = 5
So, the value of F₅ for the given sequence is F₅.
Hence, we can say that the value of F₅ in the given Fibonacci sequence is 5, i.e. option A is the correct answer.
To know more about Fibonacci sequence click here
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If you help I will give you brainiest
9514 1404 393
Answer:
5 miles
Step-by-step explanation:
It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...
time = distance / speed
The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.
total time = time spent walking + time spent riding
13/6 = (d/3) + (20-d)/30
Multiplying by 30 gives ...
65 = 10d + 20 -d
45 = 9d . . . . . . . . . . subtract 20
5 = d . . . . . . . . . . . . divide by 9
The girl walked 5 miles.
_____
Check
Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.
Her riding time was (15 mi)/(30 mph) = 1/2 h = 0:30.
Her total travel time was 1:40 +0:30 = 1:70 = 2:10, as required.
CAN SOMEONE PLEASE HELP
Step-by-step explanation:
The answer is down here
1. 8
2. 2
3. b
4. f
MATH SEND HELP THANKS BAES
You estimate that there will be 85 people at your party, but only 75 show up, what is the percent error of your estimate?
Answer:
Percentage error of your estimate = 13%
Step-by-step explanation:
Given
Approximate value = 85
Exact value = 75
To determine
Percentage error can be determined using the formula
Percentage Error = |Approximate Value − Exact Value| / |Exact Value| × 100%
= |85 − 75| / |75| × 100%
= 10 / 75 × 100%
= 0.1333 × 100%
= 13%
Therefore, percentage error of your estimate = 13%
Answer:
i got Observed Value as 10 and True Value as 11. someone tell me if i was wrong
heeeeeeeelppppppppppppp
plz
plz
i will mark you brill please just if you help
katie is using fabric to create skirts for her friends each skirts uses 5/6 a yard of fabric how much fabric does she need to create 9 skirts
Answer:
10.8
divide 9 by 5/6
If the radius of a circle is 3.5 cm, what is the diameter?
Answer:
7
Step-by-step explanation:
The diameter is twice the radius, and 2(3.5) = 7.
Joe measured a brick using a ruler with centimeters and got 9 cm. He then measured the same brick using a ruler with millimeters and got 90 mm. Are these measurements equivalent? Why or why not?
Answer:
yes, the measures are equivalent because the formula for cm to mm is times 10. 9 times 10 is 90.
Step-by-step explanation:
hope this helps! pls mark brainliest!
2) A pair of jeans costs $80. The store is having a sale for 30% off. What would
the new cost of the jeans be? Show your work.
Answer:
$56
Step-by-step explanation:
$80 x .3 = $24
$80 - $24 = $56
You can also do $80 x .7 = $56.
Hope that helps!
4) -3x – 2y = -17
9x + 2y = 23
A) (1,7)
B) (10, 7)
C) (5, 7) D) (-7,7)
Answer:
A). (1, 7)
Step-by-step explanation:
-3x – 2y = -17
9x + 2y = 23
____________+
6x = 6
x = 6/6
x = 1
9x + 2y = 23
9(1) + 2y = 23
9 + 2y = 23
2y = 23 - 9
2y = 14
y = 14/2
y = 7