Autumn invested $2,800 in an account paying an interest rate of 6.2% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest ten dollars, would be in the account after 8 years?
Answer: There would be $4590 (approx.) in the account after 8 years.
Step-by-step explanation:
Formula to calculate accumulated amount if compounded monthly :
[tex]A= P(1+\dfrac{r}{12\times100})^{12t}[/tex], where P+ principal value, r = rate of interest , t = time.
Given: P=$2,800 , r = 6.2%
t= 8 years
Substitute all values in the formula , we get
[tex]A=2800(1+\dfrac{6.2}{1200})^{12\times8}\\\\=2800(1+0.005167)^{96}\\\\=2800(1.005167)^{96}\\\\=2800(1.64009619996)=4592.2693\approx4590\text{ [Rounded to the nearest ten dollars] }[/tex]
Hence, There would be $4590 (approx.) in the account after 8 years.
Answer:
4590Step-by-step explanation:
Jen borrows $4,000 from her bank. She has a simple interest loan at a 5% interest rate and will pay it back over 4 years. How much interest will she pay on this loan?
Answer:
depends on how much she pays per month, anywhere from $16.67-$583,179.69
A school keeps track of the percentage of scholars who pack lunch versus buy lunch. On Monday, 80% of scholars packed lunch. On Tuesday, 70% of the scholars who packed lunch do so again, and 50% of those who bought lunch on Monday pack lunch on Tuesday. Assume all scholars either pack lunch or buy lunch. Find the percent change in the number of scholars who bought lunch from Monday to Tuesday, and indicate whether this was an increase or decrease.
Answer:
Increase by 10% of students that bought lunch.
Step-by-step explanation:
I think the percent change was by 10%. Because 10% of those students who packed lunched on Monday did not pack lunch on Tuesday, and assuming that they either buy or pack it that means that 10% more students bought lunch.
solve this and ill give all my 68 ponits to u
Answer:
Q1
slope= 100 (because 200/100=100)
y inter = 400 (400 is the initial starting point)
Y= 100x + 400
Q2
Slope= 15 (increase in 15 every time)
y inter= 0 (15-15=0)
y=15x
Step-by-step explanation:
Answer:
Q1
Step-by-step explanation:
5x + 3= 7x - 1. Find x
Answer:
x=2Step-by-step explanation:
5x -7x = -1 -3
-2x = -4
x=2hope it helps:)
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottle sold. Which set of numbers would be an appropriate domain for dionne’s function?
Answer:
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
Step-by-step explanation:
0, 1, 2, 3, 4, …
…, −4, −3, −2, −1, 0
…, −3, −2, −1, 0, 1, 2, 3, …
…, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
) If the standard deviation of a random variable X is 15 and a random sample of size n=15 is obtained, what is the standard deviation of the sampling distribution of the sample mean?
Answer:
3.8731
Step-by-step explanation:
The standard deviation of the sampling distribution of the sample mean is also called the standard error of the mean expressed as;
SM = s/√n
s is the standard deviation of the random variable X
n is the sample size
Given
s = 15
n = 15
Required
Standard deviation of the sampling distribution of the sample mean.
Substituting the given parameters into the expression above;
SM = 15/√15
SM = 15/3.8729
SM = 3.8731
Hence the standard deviation of the sampling distribution of the sample mean is 3.8731
Kevin wants to buy his mom a $35 necklace. If the necklace is 40% off, how much will Kevin have to pay?
Answer:
21 dollars
Step-by-step explanation:
like my answer pls :)
Kevin will have to pay the amount of $21 for the necklace when the necklace is 40% off.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
Kevin wishes to purchase a $35 necklace for his mother. If the necklace is on sale for 40% off,
If the necklace is 40% off, Kevin will have to pay 60% of the original price, since 100 - 40 = 60.
To find out how much Kevin will have to pay, you can multiply the original price of the necklace by 60% and then divide the result by 100 to convert it to a dollar amount.
For example, if you multiply $35 by 60% and then divide by 100, you get:
($35 × 60%) / 100 = $21
Therefore, he will have to pay $21 for the necklace.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
HELP ME PLS!!
Which is true about the two triangles?
Answer:
A) congruent triangles
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
3. Angle RST is a right angle as shown in the figure. What is the measure of angle
UST?*
25
75 degrees
90 degrees
55 degrees
65 degrees
Answer:
Ccf
Step-by-step explanation:
The product of a number X and 18 is 113.4. For which equation in value of X represents this relationship
Answer:
Step-by-step explanation:
18x = 113.4
i need to fill in this table to show a proportional relationship.
Answer:
x 2 4 10 12 20 33
y 6 12 30 36 60 99
What is 7/5 into a mixed number?
Answer:
improper fraction: 7/5
mixed number: 1 2/5
Answer:
1 and 2/5 or 1 2/5
Step-by-step explanation:
7/5 is a mixed number
7 - 5 = 2
The mixed number for the fraction 7/5 is 1 and 2/5
I Hope That This Helps! :)
Kacy is on her freshman basketball team. She makes 48% of her foul shots, leading her team to 14 wins in 17 games for the season.
If Kacy took 78 foul shots during the season, how many shots did she make?
Answer:
37 shots
Step-by-step explanation:
48% = 48/100
Set the ratios equal to each other so that we can find "x" the number of shots she made.
48/100 = x/78
78*48 = 3744
3744/100 = 37.44
She made 37 shots
Hershey's bar were purchased at $7 per dozen and sold at $1.25 each. Find the profit on 15 dozen Hershey's bar.
Answer:
[tex]Profit = \$120[/tex]
Step-by-step explanation:
Given
[tex]Cost\ Price = \$7[/tex] per dozen
[tex]Selling\ Price = \$1.25[/tex]
Required
Determine the profit on 15 dozen
First, we need to determine the selling price of 1 dozen.
[tex]Selling\ Price = \$1.25 * 12[/tex]
[tex]Selling\ Price = \$15[/tex]
Next, we calculate the profit on a dozen
[tex]Profit = Selling\ Price - Cost\ Price[/tex]
[tex]Profit = \$15 - \$7[/tex]
[tex]Profit = \$8[/tex]
Profit on 15 dozen is:
[tex]Profit = 15 * \$8[/tex]
[tex]Profit = \$120[/tex]
Determine whether the set, together with the indicated operations, is a vector space. If it is not, then identify one of the vector space axioms that fails. M4,6 with the standard operations
Answer:
Following are the solution to this question:
Step-by-step explanation:
The answer is "M4,6 is really a set of all 4x6 arrays, because it is shuttered by relation with vector and also particle fractions. Its structure for 4x6 also is M4,6".
2)
write place value of 3 in 32,840
Answer:
The 3 is in the ten thousands place.
3 is 30 thousand
2 is 2 thousand
8 is 8 hundred
4 is 4 tens
0 is 0 ones
Answer:
The 3 is in the hundred-thousands
Step-by-step explanation:
The graph shows a relationship between the size of 18 households and the average amount of time, in hours, each member of the household spends on chores per week. Which equation best models this data set?
A. y = 0.34x + 5.19
B. y = -0.34x - 5.19
C. y = 0.34x - 5.19
D. y = -0.34x + 5.19
Answer:
Option (D)
Step-by-step explanation:
Equation to represent the household expenditure per week will be in the form of,
y = mx + b
Where m = slope of the line
b = y-intercept
From the graph attached,
Since, line of best fit touches the positive side of the y-axis, y-intercept will be positive.
Since, y-values on the graph are decreasing with the increase in the x-values,
Slope of the graph will be negative.
[Slope = [tex]\frac{\text{Rise}}{\text{Run}}[/tex], Since rise of the line is negative and run is positive, slope will be negative]
By these properties equation of the linear graph will be,
y = -0.34x + 5.19
Option (D) will be the correct option.
The equation that best models this data set is y = -0.34x + 5.19
A linear equation is in the form:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Let y represent the time spent on chores for x household members.
From the graph, the line passes through (3, 4.25) and (8, 2.5). Hence:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-4.25=\frac{2.5-4.25}{8-3}(x-3) \\\\y-4.25=-0.35(x-3)\\\\y=-0.34x+5.2[/tex]
The equation that best models this data set is y = -0.34x + 5.19
Find out more at: https://brainly.com/question/13911928
What is the distance between-40 and 83 on a number line
Answer:123
Step-by-step explanation:
tform. Use pencil
cult? The easiest?
Q
10-
B-
6-
11
2-
N-
-6
4
00-
6
10
4/ 2
-108
-2-
-4-
6
Answer:
I don't understand it
In this polygon Find x
Answer:
x=125
Step-by-step explanation:
A 7 sided figure (heptagon) has interior angles equaling 900°. (7-2)x180
900-60-90=750
6x=750
x=750÷6
x=125
Sandpoint shopping install 80 apples on a cart he bought 20 of them what percent did he by what percent did not buy
HELP
Answer:
he bought 25% and he didn't buy 75%
Step-by-step explanation:
Find the vertex.
f(x) = 10x2 – 17
Answer:
(0,-17)
Step-by-step explanation:
In rectangle PQRS, PR = 18 x - 24 and QS = x + 146, find the value of x and the length of
each diagonal.
Q
S
R
a. x = 11, PR = 156, QS = 156
b. x = 10, PR = 78, QS = 78
c. x = 5, PR = 151, QS = 151
d. x = 11, PR = 174, QS = 174
e. x = 10,PR = 156 QS = 156.
Answer:
The answer is the first one, A
Step-by-step explanation:
First to get correct gets brainliest!!
Mary-Ann has $28, which is 2 1/3 as much money as Lola has. How much money does Lola have?
Answer:
$12
Step-by-step explanation:
Lola has x.
Mary-Ann has 2 1/3 times Lola's amount, so Mary-Ann has (2 1/3)x.
Mary-Ann has $28.
(2 1/3)x = 28
7/3 x = 28
Multiply both sides by 3/7.
x = 28 * 3/7
x = 12
Lola has $12.
What is the area of the obtuse triangle given below?
7
11
A. 24 sq. units
B. 36 sq. units
C. 108 sq. units
D. 54 sq. units
Step-by-step explanation:
I/2×7×11 can't be bothered using a calculator
Answer:
54 sq units
Step-by-step explanation:
Mrs. Smith earns 3500 a month she gives 280 a month savings is what precent of her income
Answer:8%
Step-by-step explanation:
8% of her income because I did
280
-----
3500
=
X
------
100 ( Sorry if I'm wrong <3 )
At the Blackman High school, 86 seniors submitted college applications for early decision. This represented approximately 34% of the senior class. The Truman High School, across town from the Blackman High School, has 266 seniors. Which high school has the larger senior class?
Answer:
The Truman high school has more
Step-by-step explanation:
Black man high school only has 247
what is 6n - 15
Plz answer quickly. I need help
Answer:
n=-2.5
Step-by-step explanation:
I hope this is correct and have a great day
If it costs $104.00 for 13 hamburgers, what is the cost of 1 hamburger?
Answer: $8 for 1 hamburger
Step-by-step explanation: