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.
Sam bought a kite that he could do stunts with for $52. If he
paid $4.42 in sales tax, what was the sales tax rate?
Answer:
8.5%
Step-by-step explanation:
8.50% of 52= 4.42
In rectangle uvwx, xy = YW = 18.5 in. What is the area of rectangle uvwx
IM BEING TIMED PLEASE ANSWER THANKS
Answer:
The area of the rectangle is 420 square inches
Step-by-step explanation:
By adding the diagonals, we have a total of
18.5 * 2 = 37 inches
We can apply Pythagoras’ theorem to get the other side of the triangle
It states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the other side measure x inches
Thus;
37^2 = 12^2 + x^2
x^2 = 37^2 - 12^2
x^2 = 1225
x = √1225
x = 35 inches
So the area of the triangle would be;
35 * 12 = 420 square inches
Answer:
420
Step-by-step explanation:
In Jefferson Middle School, 5% of the sixth graders have red hair. If there are 100 sixth graders, how many have red hair?
5
20
50
95
help im am i n a test !!!!
Answer:
5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
[tex] \frac{5}{100} \times 100[/tex]
What is the value − 3 1/4 ∙ 2 1/3
Answer:
the value of this is-217÷4 = -54.25
Plz help 2 more questions left
Answer:
1st ? -> -6x
2nd ? -> 4x
3rd ? from left -> 4x
4th ? -> 24
5th ? -> 6
Show if 2 is a SOLUTION or NOT a SOLUTION to the equation 0.5(x + 0.8) = 1.4
Step-by-step answer:
0.5(x+0.8)=1.4
0.5x+0.4=1.4
0.5x+0.4-0.4=1.4-0.4
0.5x=1
0.5x/0.5=1/0.5
x=2
Plzzzzz give me Brainliest!!!!!
what is 11^0 x 5x - 789
X=6
Answer:
-759
Step-by-step explanation:
Any number powered by 0 equals to 1, so the equation then becomes 1 × 5x - 789, but then x is 6, so it's 30 - 789, which is -759.
f(x) =-2 |x + 1|
how do I do this?
Answer:1
Step-by-step explanation: f(x)=-2 |x+1|
plug in the f(x) which is -2 into x to solve.
|-2+1|= |-1|= 1, it turns into positive 1.
Find the y-intercept of the graph
Answer:
The y intercept is zero
Step-by-step explanation:
What's up extras? I need help with this question!
If f(1) = 160 and f(n + 1) = –2f(n), what is f(4)?
Brainliest if you're correct!!
Ah! It's me! I lost my password-
I'm kAtSuKiBaKuGo02 qmp
Answer: f(4)=-1280
Step-by-step explanation:
A bridge spans a distance of 1012m. Large cables are attached to the tops of the towers, 45 m above the road. The road is suspended from the large cables by many smaller vertical cables. The smallest vertical cable measures about 1.5m. Determine a quadratic equation for the large cables.
Answer:
A quadratic equation for the large cables is [tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Step-by-step explanation:
The shape of the quadratic equation representing the large cables is a parabola
Taking the point of the smallest vertical cables as the vertex, (h, k) with coordinates, (0, 1.5), we have;
h = -b/(2·a)
∴ 0 = -b/(2·a), from which we have, b = 2·a × 0 = 0
k = 1.5 = c - (b²/(4·a) = c - (0/(4·a)) = c
∴ c = 1.5
The standard form of the quadratic equation, a·(x - h)² + k is therefore, given as follows;
f(x) = a·(x - 0)² + 1.5 = a·x² + 1.5
At the towers which are on either side of the bridge, when x = 1012/2 = 506, f(x) = y = 45
Therefore, we have;
45 = a·506² + 1.5
a = (45 - 1.5)/506² = 87/512072 ≈ 1.699 × 10⁻⁴
The quadratic equation for the large cables, f(x), can therefore be presented as follows;
[tex]f(x) = \dfrac{87 }{512072} \cdot x^2 + 1.5[/tex]
Can u pls help me with this question
Write the equation of the line with the slope =5 and that goes through point (3,-5)
Answer:
[tex]y=5x-20[/tex]
Step-by-step explanation:
Point-slope form.
[tex]\frac{y-(-5)}{x-3} = 5\\y+5 = 5x-15\\y=5x-20[/tex]
Which statements are true regarding triangle LMN? Check all that apply.
Answer:A,C,E
Step-by-step explanation:I took the quiz
Answer:
its right ACE
Step-by-step explanation:
The sum of two numbers is 57 and the difference is 23 what are the numbers?
Answer:
40 and 17
Step-by-step explanation:
40 + 17 = 57
40 - 17 = 23
Not much of an explanation but hope it helps!
what is the area of the real object that the scale drawing models?
a. 300 square cm
b. 12 square cm
c. 60 square cm
d. 25 square cm
Answer:
60 square cm
answer c
Step-by-step explanation:
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Answer:
A 300 square cm
Step-by-step explanation:
When you buy multiple stocks, you have to multiply your gains and losses by how many stocks you own. For example, if you own two stocks of Netflix, and the stock increases in value by $10, you have gained $20 (To calculate this you do $10 x 2).
Suppose you own 5 stocks of Netflix. If the value of Netflix stock increases by $30 after you buy it... how much money have you made?
The angle of elevation of the top of a flagpole from a point on the ground 30 meters
from the base of the flagpole is 18 degrees. What is the height of the flagpole, to the
nearest meter?
I need help
Answer:
[tex]10\:\mathrm{meters}[/tex]
Step-by-step explanation:
We can use trigonometry for a right triangle to solve this problem:
[tex]\tan 18^{\circ}=\frac{h}{30},\\h=30\cdot\tan 18^{\circ},\\h\approx \fbox{$10\:\mathrm{m}$}[/tex].
The height of the flagpole is 10 meters.
What is angle of elevation?"It is the angle from the horizontal upward to an object."
For given question,
Consider the following figure.
The angle of elevation is 18°
⇒ ∠ACB = 18°
Also, BC = 30 meters
We need to find the height of the flagpole i.e., we need to find the distance AB.
Consider a tan(∠ACB )
[tex]\Rightarrow tan(18^{\circ})=\frac{AB}{BC}\\\\ \Rightarrow 0.3249 = \frac{AB}{30}\\\\ \Rightarrow AB=9.747 ~~meters\\\\\Rightarrow AB\approx 10~~meters[/tex]
Therefore, the height of the flagpole is 10 meters.
Learn more about angle of elevation here:
https://brainly.com/question/21137209
#SPJ3
solve the proportion
4/5 = x/15
Answer:
x = 12
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Answer:
hmmm it got deleted
x=12
Step-by-step explanation:
because 4/5 times 15 is 12
also, 5x=60
x=12
For trapezoid JKLM A and B are midpoints of the legs. Find AB.
19
B
M
L
27
C.
23
a
h
35
46
Which algebraic expression represents this mathematical statement? 32 more than a number
A. m
B. s
C. d
D. x
HERE IS THE TEXT THERE IS MORE THO
Answer:
What exactly is this for?Helllp,??????????????
Yoo 9th grade math please help me out My grade is slowly slipping
Answer: I'm pretty sure it would be no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
y_<_2x
4_<_2(3)
4_<_6
true
y > x + 4
4 > 3 + 4
4 > 7
false
5. Show 3 different ways on how you can multiply two polynomials to get 30x^3.
For example: 5x^2 - 6x = 30x^3
I need help with this ASAP and can you explain so i can understand?!
Answer: 225 adult tickets, 375 student tickets
Step-by-step explanation:
a = adult tickets
s = student tickets
a + s = 600 (the adult and student ticket added together should equal 600)
6.00a + 4.50s = 3,037.50 ($6 multiply by the adult ticket plus $4.50 multiply by the student ticket should equal to 3,037.50)
a = -s + 600 (get one of the variable by itself by subtracting it from one side)
6 (-s + 600) + 4.5s = 3,037.5 (substitute the a for -s + 600)
-6s + 3600 + 4.5s = 3,037.5 (combine like terms)
-1.5s + 3600 = 3,037.5 (subtract 3600 from each side)
-1.5s = - 562.5 (divide -1.5 from each side)
s = 375
600 = 375 + a (substitute s for 375)
a = 225
Omar has a new credit card. He earned 300 reward points for every 100 dollars he spends. If Omar earned 1800 reward points, how much money did he spend?
Sari opened a savings account with $150.00. The account earns interest at a rate of 6% compounded annually.
The table below shows her account balance at the end of each of the first three years.
If Sari makes no additional deposits or withdrawals, which of the following will be closest to her account balance at the end of year 6?
$184.65
$189.37
$200.73
$212.77
Step-by-step explanation:
A = P(1 + r)^t
= $150.00 * (1 + 0.06)^6
= $212.77.
Hence Sari will have $212.77 at the end of year 6.
Please help me!
Will mark brailest if you are right!!!
Answer:
f(x) = 3x
Step-by-step explanation:
The equation of a line passing through the origin is
y = mx ( m is the slope )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (1, 3)
m = [tex]\frac{3-0}{1-0}[/tex] = 3 , then
y = 3x ← is the equation of the graphed line
Can someone help me out?
Answer:
do I solve it or what am I supposed to do
Answer:
y=6
Step-by-step explanation: