A student's parents offer him one of two options to receive scholarship money for college.
Option A: Deposit $17,000.00 into his savings account and then add an additional $1,250.00 each day for 30 days
or
Option B: Deposit $0.50 into his savings account and then triple that amount each day for only 10 days
When rounded to the nearest cent, how much money is deposited into his savings account on the last day (day 30) for Option A, and how much is deposited into his savings account on the last day (day 10) for Option B? If the student keeps only what is deposited on the last day, which option should he choose?
Option A Versus Option B
Option A Option B
Day Amount Deposited Day Amount Deposited
0 $17,000.00 0 $0.50
1 $18,250.00 1 $1.50
2 $19,500.00 2 $4.50
A = $142,845.76, B = $29,524.50; B, because he receives $113,321.26 more
A = $54,500.00, B = $10.50; A, because he receives $54,489.50 more
A = $37,500.00, B = $59,049.00; B, because he receives $21,549.00 more
A = $54,500.00, B = $29,524.50; A, because he receives $24,975.50 more
Answer:
option a
Step-by-step explanation:
it is because $17,000.00 will make you have more money and have better things to do in the nearest future
The amount received by student in option A and B are A = $54,500.00, B = $29,524.50, Option A is better because student receives $24,975.50 more.
What is Simplification?Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.
(A)
Given that,
Amount deposit by student in starting = $17,000
Also, student add $1250 each day for 30 days,
Amount added in 30 days = 1250 x 30 = $37500
Total amount in account = 17000 + 37500 = 54500
The final amount in account is $54500.
(B)
Amount deposited into saving account = $0.50
Also, student triple that amount for 10 days,
Amount in account in 10 days = 0.50 x 3¹⁰ = 29524.5
Option A is a better deal because the student receives $24,975.50 more.
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All ratios equivalent to 24:12
Answer:
There are so many:
2:1
4:2
6:3
The IQ scores of the middle 50% of a population can be written as
I
100
15
where x is a person's IQ. Solve the inequality to find the IQ scores for the middle 50% of the population.
x 270 and x s 130
Ox570 and x 2 130
Oxs 90 and x 2 110
x 290 and x s 110
Complete question :
The IQ scores of the middle 50% of a population can be written as (x - 100) / 15 ≤ 2/3
Answer: 90 ≤ x ≤ 110
Oxs 90 and x 2 110
Step-by-step explanation:
Given the inequality:
The middle 50% of the population :
(x - 100) / 15 ≤ 2/3
The upper bound :
(x - 100) / 15 ≤ 2/3
multiply both sides by 15
(x - 100) / 15 * 15 ≤ 2/3 * 15
(x - 100) ≤ 2/3 * 15
x - 100 ≤ 10
x ≤ 10 + 100
x ≤ 110
The lower bound :
- (x - 100) / 15 ≤ 2/3
(-x + 100) / 15 ≤ 2/3
multiply both sides by 15
(-x + 100) / 15 * 15 ≤ 2/3 * 15
(-x + 100) ≤ 2/3 * 15
-x + 100 ≤ 10
-x ≤ 10 - 100
-x ≤ - 90
x ≤ 90
90 ≤ x ≤ 110
Of the numbers 7, 8, 9, and 10, which is a solution to the inequality n – 5 < 3? Hurry Plz
Answer:
Answer of this question is 10
please answer #3
i have only 5 points left ;(
Answer:
f(x) = 2,000(0.94)^x; 952 km^2
Step-by-step explanation:
Formula for exponential growth or decay:
f(x) = P(1 + r)^x
where
f(x) = future value in year x
P = present value
r = annual rate of growth (positive) or decrease (negative)
x = time in years
In this problem,
P = 2,000
r = -6% = -0.06; here r is negative since this is a decreasing function
The formula is
f(x) = 2,000(1 - 0.06)^x
f(x) = 2,000(0.94)^x
For year 12, x = 12.
f(x) = 2,000(0.94)^x
f(12) = 2,000(0.94)^12
f(12) = 952
Evaluate 36 = (x+9) when x = 3.
O A. 3
O B. 12
O C. 21
O D. 4
Help it’s due soon all help is appreciated
A tape diagram. There are 35 6th graders with an older sibling out of 100 6th graders. There are question mark 6th graders with an older sibling out of 300 6th graders. StartFraction part Over whole EndFraction = StartFraction 35 times 3 Over 100 times 3 EndFraction = StartFraction question mark Over 300 EndFraction Graph If 35% of the 300 students in 6th grade have an older brother or sister, how many 6th graders have an older sibling? To solve this problem, we can write an equivalent ratio as the percent and then create the percent . 6th graders have an older brother or sister.
Answer:
35 a
Step-by-step explanation:
ada
Answer:
1. Percent 2. Ratio 3. Ratio 4. 105
Step-by-step explanation:
I just did it
PLZ HURRY IT'S URGENT!!!
Which combinations satisfy the situation in the graph?
(It's multiple choice you can select more than one answer)
options:
4 pounds of apples and 4 pounds of oranges
7 pounds of apples and 8 pounds of oranges
3 pounds of apples and 2 pounds of oranges
6 pounds of apples and 5 pounds of oranges
Answer:
Option 1 and 3
Step-by-step explanation:
jdnfkfnkdksnd
How do I write 55555 in expanded form
Answer:
FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE
Step-by-step explanation:
There are 5,375 pencils in 25 cases. Find the unit rate. pls
Answer:
5,375/25= 215 pencils per case
Step-by-step explanation:
Answer: 215 Pencils are in each case
Step-by-step explanation:
5,375/25 equals the unit rate
Eve is organizing a race to raise money for a local children's hospital. She makes $20 for each 5K participant and $45 for each 10K participant. Her goal is to raise $9,500.If x represents the number of participants in the 5K race and y represents the number of participants in the 10K race, the linear equation for the given scenario is
Answer:
20x + 45y = 9500 is the linear equation for given scenario
Step-by-step explanation:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
Therefore, the linear equation for given scenario is found
Answer:
20x + 45y = 9500
yes/no: no
Solution:
Given that Eve makes $20 for each 5K participant and $45 for each 10K participant
Cost of each 5k participant = $ 20
Cost of each 10k participant = $ 45
Her goal is to raise $9,500
Let "x" represents the number of participants in the 5K race
Let "y" represents the number of participants in the 10K race
To find: linear equation for given scenario
The standard form for linear equations in two variables is Ax + By = C
Eve makes $20 for each 5K participant and $45 for each 10K participant and goal is to raise $ 9500
From the above statement, we can frame a equation as:
number of participants in the 5K race x Cost of each 5k participant + number of participants in the 10K race x Cost of each 10k participant = $ 9500
20x + 45y = 9500
If eve raises exactly $9,500, it is NOT possible for there to be 220 participants in the 5K race.
does anyone understand this
For this problem, 0.25 in = 50 m. So
11 in = (11 in) • (50/0.25 m/in) = 2200 m
Alternatively, if 0.25 in = 50 m, that means 1 in = 200 m. So 11 in = 11 (200 m) = 2200 m.
Write "eleven and twenty-one hundredths" as a decimal.
Answer:
11.21
Step-by-step explanation:trust me bro
Answer:
11.21
Step-by-step explanation:
Factor completely
w^2 + 12w -f^2+ 36
HELP ME PLZ AND IF YOU HELP ME 10 POINTS
Answer:
3(c+4)
Step-by-step explanation:
It would usually be 3 x 4, but since there is a variable, it can`t be multiplied (unless you know what the value of the variable is). Thus the expression is 3(c+4).
A team of five kids is randomly chosen from a class of 20 students. An outcome of the selection process is the set of five kids selected. What is the size of the same space
Answer:
[tex]S= 4[/tex]
Step-by-step explanation:
Given
[tex]Total = 20[/tex]
[tex]Selection = 5[/tex]
Required
Determine the size of sample space
Represent this with S
S is calculated by dividing the total number of kids by the number of selection.
[tex]S = \frac{Total}{Selection}[/tex]
[tex]S = \frac{20}{5}[/tex]
[tex]S= 4[/tex]
Hence, the sample space has a size of 4
plz help me 25y−4+7−910y =
Answer:
-885y+3
Step-by-step explanation:
00:00
Select all the values of p that are solutions for this inequality
10p - 8 >12
A. -1
B. 0
C. 1
D. 2
E. 3
Answer:
The answer is D. and E.
Step-by-step explanation:
The answer is D and E because 10 multiplied by 2 is 20 and 20 is bigger then 12 and 10 times 3 is 30 which is also bigger than 12.
P.S Can I have brainliest?
From the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
What is inequality?It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than, known as inequality.
We have inequality:
10p - 8 >12
10p > 12 + 8
10p > 20
p > 2
p ∈ (2, ∞)
Thus, from the region (2, ∞) of the inequality the values -1, 0, and 2 are not in the region, but the value 3 is in the region so p = 3 is the solution to the inequality option (E) is correct.
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Pleaseeeee helpppppp meee
Answer:
C, F
Step-by-step explanation:
Dont have time rn
given cot A= 40/9 and that angle A is in quadrant 1 find the exact value of sec A in the simplest radical form using a rational denominator
Answer:
41/40Step-by-step explanation:
Given cotA = 40/9
1/tanA = 40/9
tanA = 9/40
According to SOH, CAH, TOA
tan A = 9/40 = opposite/adjacent
Get the hypotenuse
hyp² = opp²+adj²
hyp² = 9²+40²
hyp² = 81+1600
hyp² = 1681
hyp = √1681
hyp = 41
Het sec A
sec A = 1/cosA
Since cos A = adjacent/hypotenuse
cos A = 40/41
secA = 1/(40/41)
SecA = 41/40
Hence the exact value of secA is 41/40
Can someone help me find x
And why?
PLZZZ I WILL GIVE U 20 POINTS
Answer: x is on the side we’re the prime example if found if u have a example
Step-by-step explanation:
COLOR THEME
O Q ZOOM
5. Mrs. All collected notebook paper from her students at the beginning of the
school year. The model is shaded to show the fraction of notebook paper
that Mrs. Ali used in each of the following three months.
First month
Second month
Third month
What fraction of the notebook paper Mrs. All collected was used during
these three months?
Answer:
6
Step-by-step explanation:
Someone thats extremely 100% good at math and is passing math can you help me with all my math questions. I need to get a better grade in math. ( No Plagiarism and please dont reshare another students answer from brainly either). Will Mark Brainliest. Just click on my name to go to my math questions.
Write the value of the 4. 6.54
Answer:
Hundredths place
Step-by-step explanation:
6 in 6.54 is ones place
5 in 6.54 is tenths place
4 in 6.54 is hundredths
plz mark me brainliest
which rule describe the following pattern 8,4,10,6,12,8,14
A line has a y-intercept at (0,4) and an x-intercept at (6,0). What is the slope of the line
Answer:
-2/3
Step-by-step explanation:
Rise: 4
Run: -6
Slope = Rise over run
Slope = 4 / -6
4 / -6 = -2/3
Determine whether or not the relationship between x and y is proportional. Explain how you deter-
mined your answer.
(#1) please help
Answer:
Al of them are proportional
Step-by-step explanation:
If you see the first one is getting multiplied by 2 same as the second but the third is reversed.
2x,2x,-2x
Help pls :))))))))))))))
Answer:left is 7 right is 6
Step-by-step explanation:
left is 7 right is 6
Answer:
the right side is 6 and the left side is 7
Step-by-step explanation:
These triangles are similar. Since the bottom side goes from 15 to 5, that means you divide the other 2 sides by 3 also.
Randy Houck deposited his paycheck for $385.15, a refund check from a mail
order purchase for $125.95, and $37.20 in cash.
Answer:
The correct option is c. $548.30.
Step-by-step explanation:
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