Answer:
The amount of money that would be in the account after 8 years is approximately $998
Step-by-step explanation:
The given parameters for the compound interest investment are;
The amount Aaron invested = $570
The interest rate of the investment = 7%
The mode of compounding of the interest = Continuously
The number of years the amount is invested = 8 years
For a compounded continuously interest rate, we have;
[tex]A = P \cdot e^{r \cdot t}[/tex]
Where;
A = The future value =The amount realized from the investment after the time of investment
P = The initial value = The principal amount invested
e = Euler's number = Mathematical constant
r = The interest rate = 7%
t = The time of investment = 8 years
Therefore, by substituting the known values, we have;
[tex]A = 570 \times e^{0.07 \times 8} \approx 997.883325[/tex]
The amount of money that would be in the account after 8 years to the nearest dollar = The future value of the investment = A ≈ 998
The amount of money that would be in the account after 8 years to the nearest dollar ≈ $998.
Joe buys a compact disc that costs $29.99. He give the store clerk $50.00.
How much change should he get?
Answer:
$20.01
Step-by-step explanation:
Simply subtract $29.99 from $50.00 so, your problem should be set up like this:
You substitute the numbers with 10s, but there cannot be more than one.
Answer:
$20.01
Step-by-step explanation:
You should subtract 50.00 and 29.99, and since there are three zeros, you have to borrow from the five, making it a four. Then, you make the first zero into a 10, then borrow from that one, making it a nine, same with the second zero. Then, for the third zero, you only borrow one from the second zero, turning the second one into a nine and the third on into a 10. You then start the subtracting process. This is the first part to the problem:
50.00 - 29.99 = ?
Then, this is what you should have after:
49.91(0) - 29.99 = ?
This is what you get after:
20.01
Then, add the dollar sign. You will get:
$20.01
Hope it helped!
At what point do the lines y= 2x + 3 and y = 5x - 9 intersect?
Answer:
(4,11)
Step-by-step explanation:
y=2x+3
y=5x-9
the first equation is equal to the second equation so
2x+3=5x-9
put like terms together
2x-5x= -9-3
-3x= -12
divide both sides by -3
.•.x=4
now, use the value of x to find the value of y like this:
y=2x+3 (x=4)
y=2(4)+3
y=8+3
y=11
therefore, the two lines intersect at the point (4,11)
A = Pert
A small forest has 30 rabbits and grows continuously
at a rate of 60%. How many rabbits do you expect to
see in this forest after 5 years? Round your answer to
the nearest whole rabbit.
PLZZZZZZZZ HELP ASAP ND THANK YOU
========================================================
Work Shown:
P = 30 = initial populatione = 2.71828 = a constant (similar to pi = 3.14)r = 0.60 = growth rate in decimal formt = 5 = number of yearsApplying those values gets us the following
A = P*e^(r*t)
A = 30*2.71828^(0.60*5)
A = 602.56489
A = 603
After five years, there are approximately 603 rabbits in that forest.
Clothing Online An online clothing company sells custom sweatshirts. The company charges $2.99 for shipping plus $6.00 for each sweatshirt. Write a linear function rule that models the total cost y (in dollars) for any number of sweatshirts x.
Dakota received a mark of 68% on his math test.
The test had 25 questions.
How many questions did Dakota answer correctly?
Answer:
17 right
Step-by-step explanation:
68 percent of 25 is 17
PLEASE MARK ME AS BRAINLIEST!!!!!<3
I don’t get this at all please help!!
Answer:
I can't this type of mathematics
Answer:
29) x = 12
30) x = 6
31) x = -4
32) x = 5
Not sure if the degree symbol is needed for the answer.
Step-by-step explanation:
Apply angle sum of triangles to all 4 questions.
29) (3x + 4) + 50 + 90 = 180 i.e. x = 12
30) (8x + 7) + 35 + 90 = 180 i.e. x = 6
31) 64 + 65 + (x + 55) = 180 i.e. x = -4
32) 70 + 35 + (14x + 5) = 180 i.e. x = 5
Help ill mark u brainliest
answer:
8x - 16 + 5x + 15 = 90
and
8x - 6 + 18x + 4 = 180
If you were to buy a municipal bond for $100 and it returned 1% per year for four years how much interest would you have after four years?
$100
$4
$40
$400
Answer:
$4
Step-by-step explanation:
As, interest = PTR /100
= 100 x 1 x 4/ 100
= $4
Total Interest = $4
pleaseee help meee will give brainliest or whateva
Answer:
The value of x = 12.
Step-by-step explanation:
We know that two angles are termed as supplementary when the sum of the measure of their angles is 180°.
We also know that a straight line angle measures 180°.
It is clear that the angles 72° and 9x° line on a straight line. Thus, the sum of the measure of their angles is 180°.
Therefore,
9x° + 72° = 180°
9x° = 180° - 72°
9x° = 108
divide both sides by 9
9x/9 = 108/9
x = 12
Therefore, the value of x = 12.
Answer and will mark brainliest
Answer:
30
Step-by-step explanation:
What is the product of d – 9 and 2d2 + 11d – 4?
2d3 – 7d2 – 103d + 36
2d3 – 7d2 – 95d + 36
2d3 + 7d2 – 95d + 36
2d3 + 7d2 – 103d + 36
Answer:
A.
2d3 – 7d2 – 103d + 36
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Manuel opened a savings account with an initial balance. Each week he adds $20 to the account. After 6 weeks he has $170 in the account.
Find and interpret the rate of change and the initial value.
The school has 330 students in 11 classrooms. What is the unit rate of
students per classroom? Explain how you got your answer.
b) Prove that
Tan 47°\cot 43°= 1
Answer:
Here's the proof
Step-by-step explanation:
tan(47°)/cot(43°)
=tan(90°-47°)/cot(43°)
=cot(43°)/cot(43°)
=1 (proven)
Answer:
Step-by-step explanation
Loll
Which set of ordered pairs contains only points that
are on the graph y = 15 – 2x?
A {(-3, 18), (0, 15), (6, 9)}
B
{(-5, 10), (-3, 6), (5, -10)}
С
{(-5, 25), (-1, 17), (8, -1)}
D {(-7, 1), (-4, 7), (2, 19)}
Answer:
a
Step-by-step explanation:
a
BRAINLIST PLEASEEEE HELP
Answer:
About 527.79
Step-by-step explanation:
formula is A=2πrh+2πr^2
Answer:
[tex]527.52\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The surface area of this cylinder consist of two circles and a 3D outer edge with respect to the circumference. The area of a circle is given as [tex]r^2\pi[/tex]. Using [tex]\pi=3.14[/tex] as requested in the problem, the area of both these circles is:
[tex]2\cdot6^2\cdot 3.14=226.08\:\mathrm{in^2}[/tex].
The area of the outer edge is the circumference of the circle multiplied by the height. The circumference of a circle is given by [tex]2r\pi[/tex].
Therefore, the circumference's 3D outer edge is:
[tex]8\cdot2\cdot6\cdot 3.14 = 301.44\:\mathrm{in^2}[/tex].
Adding these up, the total surface area is:
[tex]226.08+301.44=\fbox{$527.52\:\mathrm{in^2}$}[/tex].
Which equation could be a true statement by substituting n with a number greater than 10? A 10=n + 1/2. B 10=2n. C 10= n - 0.5. D 10 = 2 ( divided) n
Answer:
I can't read it.
Step-by-step explanation:
Type the correct answer in the box. If necessary, use / for the fraction bar.
A fish tank is a cube. Its side length is 4 1/2 feet.
The volume of water needed to completely fill the fish tank is ______ cubic feet.
Answer:
15 i think
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 4 cups in a row from left to right. The green cup is somewhere between the yellow and blue cups. The red cup is somewhere left of the yellow cup. Based on that information, how many different arrangements of these cups could there be?
Answer:
Le answer tis 4 UwU
Step-by-step explanation: G'day mate!
P.S- Brainlest plzz??
Answer:
5
Step-by-step explanation:
e
Round answers to three decimal places. Area of 1st rectangle =0.022 Area of 2nd rectangle = Area of 3rd rectangle = Area of 4th rectangle = Area of 5th rectangle = Area of 6th rectangle = Total area =
Answer:
Total area ≈ 0.082
Step-by-step explanation:
Round answers to three decimal places.
Area of 1st rectangle = 0.032
Area of 2nd rectangle =25 x 0.000863
= 0.022
Area of 3rd rectangle = 0.014
Area of 4th rectangle = 0.008
Area of 5th rectangle = 0.004
Area of 6th rectangle = 0.002
Total area = 0.082
Rounding up to 3 decimal places: this means 3 numbers after the decimal point
Area of 1st rectangle ≈ 0.032
Area of 2nd rectangle ≈ 0.022
Area of 3rd rectangle ≈ 0.014
Area of 4th rectangle ≈ 0.008
Area of 5th rectangle ≈ 0.004
Area of 6th rectangle ≈ 0.002
Total area = 0.032 + 0.022 + 0.014 + 0.008 + 0.004 + 0.002
= 0.082
Total area ≈ 0.082
Answer:
Round answers to three decimal places.
Area of 1st rectangle =0.022
Area of 2nd rectangle =
⇒ 0.014
Area of 3rd rectangle =
⇒ 0.008
Area of 4th rectangle =
⇒ 0.004
Area of 5th rectangle =
⇒ 0.002
Area of 6th rectangle =
⇒ 0.001
Total area =
⇒ 0.051
Step-by-step explanation:
edg 2021
Liam and Harper are racing on a track. Liam runs 4 miles per hour and gets a 0.25 mile head start. Harper runs 0.5 miles per hour fastet than Lism. If harper and Liam run the same distance, how many hours, x, do they run?
Answer:
30 minutes = 0.5 hour
Step-by-step explanation:
0.5 miles faster than Liam:
4x + 0.25 = 4.5x
0.25 = 4.5x - 4x
0.25 = 0.5x
x = 0.25 / 0.5
x = 0.5 hours
x = 30 minutes
write an expression that is equivalent to 3/4 a + 2/3 - 1/2 a - 1/3 + 1/2 a
While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?
Answer:
$88.9
Step-by-step explanation:
First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:
Total cost=(29*2)+(16*3)+21
Total cost=58+48+21
Total cost=127
Now, you have to calculate 30% of that total and subtract that amount from the total cost:
127*30%=$38.1
127-38.1=$88.9
According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.
There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?
Answer:
by taking Hcf of 96 and 72 we get 4 so each team have 4
'24' teams can be made with each team having 4 girls and 3 boys.
Given that,
No. of girls = 96
No. of boys = 72
Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.
96 = 2 * 2 * 2 * 2 * 2 * 3
72 = 2 * 2 * 2 * 3 * 3
GCF = 2 * 2 * 2 * 3 = 24
Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:
No. of girls in each team = Total girls/no. of teams
= 96/24
= 4 girls
No. of boys in each team = Total boys/no. of teams
= 72/24
= 3 boys
Thus, each team will have 4 girls and 3 boys.
Learn more about 'Greatest Common factor' here:
brainly.com/question/1983426
“George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?”
Please help
Answer:
9 minutes
Step-by-step explanation:
Rate of George's blinking:
85 / 15 = 17 blinks in 3 minutes
so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes
what is x ? pleasee help !!!
Answer:
It is an unknown number but add 16 + 32 degrees and you get 48x degrees then multiply 48 X 72 degrees and you get 336 degrees.
Step-by-step explanation:
i have no clue what this one is can someone help
Answer:
the answer is b
Step-by-step explanation:
radius is half the number of diameter
Convert the measurements. Help me ASAP please!
Answer: 22.86
Step-by-step explanation:
Write the rational number as a decimal. −1/15=
Answer:
Step-by-step explanation:
1.15
Answer:
-0.067
Step-by-step explanation:
this is a answer
What is the image point of (5,1) after a translation right 5 units and down 2 units?
Answer:
(10,-1)
Step-by-step explanation:
If it shifts right, that means that the x is increasing
5+5 = 10
if it shifts down, that means the y is decreasing
1-2=-1
x= 10 y=-1
(10,-1)
