Answer:
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
The annual growth rate is of 0.72%.
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$650 is invested in an account earning 8.6% interest (APR), compounded monthly.
This means that [tex]P = 650, r = 0.086, n = 12[/tex]. So
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(t) = 650(1 + \frac{0.086}{12})^{12t}[/tex]
[tex]A(t) = 650(1.0072)^{12t}[/tex]
The value of the acount after t years is of [tex]A(t) = 650(1.0072)^{12t}[/tex]
Annual growth rate
1.0072 - 1 = 0.0072 = 0.72%
The annual growth rate is of 0.72%.
This is the last question I need please help (the first one to help will be marked brainliest!)
Answer:
x = 19
Step-by-step explanation:
The 5x + 30 should also = 125, since they both have the same angle.
So you can make this equation:
125 = 5x + 30
125 - 30 = 5x
95/5 = x
x = 19
Step-by-step explanation:
125°=5x+30°
125-30= 95
95÷5=19
so x = 19
bro I promise if someone reports this for no reason or send a malware link that i can scan ima hack u
Answer:
"hack you" lol answer is 22in
Step-by-step explanation:
the base of the pyramid is 100in^2
so the rest of the surface area is 440
formula for a triangle area is A=1/2bh
1 of the triangles is 110 440/4
110=1/2*10*h
110=5*h
h=22
help :( math for 8th
Answer:
She should add 10x to both sides
Step-by-step explanation:
Answer:
Step-by-step explanation:
x² - 10x - 2 = 0 {Add 2 to both sides}
+2 = +2
x² - 10x = 2
Now to find what to add both sides, divide the co-efficient of x by 2
10/2 = 5
Add 5² to both sides
x² - 10x + 25 = 5²
(x - 5)² = 5²
Take square root both sides,
x - 5 = ± 5
x- 5 = 5 ; x - 5 = -5
x = 5+5 ; x = -5 + 5
x = 10 ; x = 0
Identify the lateral area and surface area of a right cone with radius 7 cm and slant height 15 cm.
Answer:
lateral area is 329.7 and the surface area is 483.56
Step-by-step explanation:
Lateral area = [tex]\pi (7)(15) = 105\pi = 329.7\\[/tex]
Surface area = lateral area + base area
Base area= [tex]\pi r^{2}[/tex] = [tex]\pi (7)^{2}[/tex] = [tex]49\pi[/tex]
Surface area = 105[tex]\pi + 49\pi = 154\pi = 483.56[/tex]
if the volume is 56 in the length is 4 in and the width is 7 in what is the height of the rectangular prism
Answer:
2
Step-by-step explanation:
lxwxh
7x4=28
56/28=2
if a square has breath of 13 cm what would be the lenght and perimeter ?
Answer:
The square will have length 13 cm only and it's perimeter will be:
4l
4×13cm
52cm
I hope it helps you
WILL MARK BRAINLY FOR WHO EVER GETS THE ANSWER FIRST
Answer:
The point was reflected along the y axis.
Step-by-step explanation:
Since they are both negative, it went to Quadrant III. It was previously in Quadrant IV, which means that To get from IV to III we need to reflect the points along the Y axis.
The tables show the functions to calculate the costs for a
master plumber, M(h), and an apprentice, A(h),
depending on the number of hours, h, that it takes to
complete a job.
The total cost for work done by a crew of one master
plumber and one apprentice is the sum of the costs for
each member of the crew.
Which table shows the total cost for various times
orlad
2.75
325
A5
Answer:
the answer is d
Step-by-step explanation:
Answer: D
Step-by-step explanation:
Alternate exterior angles are congruent.
Which angle forms a pair of alternate
exterior angles with angle 1?
Answer:
Angle 8 forms a pair of alternate exterior angles with angle 1.
Rewrite without absolute value sign.
|x+12| if x>-11
Find the measure of < 1.
9514 1404 393
Answer:
92°
Step-by-step explanation:
∠1 is an "alternate exterior angle" with the one marked 92°. Alternate exterior angles are congruent, so ...
∠1 = 92°
Help plz ahhh plz pretty plz
Answer: 158 as area and perimeter 62
Step-by-step explanation:
special right triangle desmo
9514 1404 393
Answer:
x = 15√3
y = 30
Step-by-step explanation:
In a 30°-60°-90° "special" triangle, the ratios of side lengths are ...
1 : √3 : 2
Your diagram shows the short side is 15, so the other sides can be found by multiplying the above ratio numbers by 15.
1 : √3 : 2 = 15 : x : y = 15 : 15√3 : 30
x = 15√3
y = 30
A TV has a listed price of $671.98 before tax. If the sales tax rate is 7.5%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answer:
The price of the TV with the sales tax included is $ 722.38.
Step-by-step explanation:
Given that a TV has a listed price of $ 671.98 before tax, and the sales tax rate is 7.5%, to find the total cost of the TV with sales tax included the following calculation must be performed:
671.98 + (671.98 x 0.075) = X
671.98 + 50.3985 = X
722.3785 = X
Therefore, the price of the TV with the sales tax included is $ 722.38.
An American football field is 20 yards longer than a soccer field. An American football field is 120 yards long. How long is a soccer field? Circle the correct answer.
Answer:
A soccer field is 100 Yards.
Step-by-step explanation:
120-100=100yds.
C
Question
What is the absolute value of -36?
-36
оо
6
d
36
Answer:
36
Step-by-step explanation:
Answer:
the absolute value of -36 is
36
Math work please help!!!
Answer:
your answer is 62°
I hope it's helps you
sarah buys a pair of shoes for $25 plus 8% tax. Hilary buys a shirt for $30mplus an 8% tax. What is the difference in the amount sarah and hillary paid, including tax?
Answer:
5.4
sarah = 27
Hilary = 32.4
Step-by-step explanation:
25(.08)+25=27
30(.08)+30= 32.4
32.4-27=5.4
A linear function has an x-intercept of
-2 and a y-intercept of 6. Which of the
following is an equation of the linear
function?
PLEASEE IM DOING A TEST!!
Answer:
y = -1/3x + 6
Step-by-step explanation:
You have the formula y = mx + b
We can put in:
b=6
m=-2/6=-1/3
y=-1/3x+6
Three sides of a quadrilateral measure 11.4 millimeters, 7.5 millimeters, and 9 millimeters. If the perimeter of the quadrilateral is 38.6 millimeters, what is the length of the fourth side?
27.9 mm
11.3 mm
66.5 mm
10.7 mm
Please help meeeeeeeeeew
In the quadratic function y = ax^2 + bx + c, the ___________ affects the width of the parabola.
b
c
a
bx
Answer:
the answer is the a affects the width
Step-by-step explanation:
the answer is a not the choice A, the third one
(i hope this help)
Hey guys I need help with this
Answer:
use the reverse Pythagorean therm BC= 4 DE= 4.8
Step-by-step explanation:
The square root of 5(squared) - 3(squared) = 4
the square root of 8(squared) - 6.4(squared) = 4.8
PLEASE HALP MAH! The dot plots below show the test scores of some mathematics students and some science students: Two dot plots are shown one below the other. The top and the bottom plots have the title Mathematics Students and Science Students respectively. Below the line for each dot plot is written Mark. The markings on each line are from 30 to 50 at intervals of 1. For the top plot there are two dots each for 34 and 40 and 1 dot each for 32, 33, 35, 37, and 39. For the bottom plot there are 2 dots each for 43, 46 and 49 and 1 dot each for 41, 42, and 47. Based on visual inspection of the dot plots, which group of students appears to have the larger average score? The mathematics students The science students Both groups are similar. Not enough information is available to draw a conclusion.
Answer:
d
Step-by-step explanation:
Answer: d not enough information is available to draw a conclusin
Step-by-step explanation:
Samira is playing a game with the spinner shown.
What is the theoretical probability that the pointer will land in a section labeled with the letter J?
Answer:
2/10 or 1/5
Step-by-step explanation:
there are 10 equal 'slices'
then count those with a J
that would be 2
The lowest point in a business cycle, which follows a period of economic
decline, is called a(n)
A. trough
B. contraction
C. peak
D. expansion
The lowest point in a business cycle, which follows a period of economic
decline, is called a trough. Therefore, option A is the correct answer.
What is a period of economic decline?A prolonged period of weak or negative real GDP (output) growth that is accompanied by a noticeably higher unemployment rate is known as a recession. During a recession, a lot of other economic activity indices are similarly weak.
Trough: This refers to the stage of the business cycle when economic activity is at its lowest point.
Expansion: It denotes the period following a dip when overall demand rises. It leads to a rise in output and a decrease in unemployment.
In the business cycle, expansions and contractions alternate (also called recessions).
Recessions frequently begin at the business cycle's high, when an expansion comes to an end, and finish at its trough, when the following expansion starts.
Therefore, option A is the correct answer.
Learn more about a period of economic decline here:
https://brainly.com/question/4065260.
#SPJ5
Which of the following is equal to the expression below? i give credit
Answer:
8[tex]\sqrt[3]{5}[/tex]
A cylindrical fuel storage tank has a diameter of 19 feet. Determine the capacity of the tank, if its height is 34 feet. (use = 3.14)
Answer:
The tank capacity is 9,635.09 square feet.
Step-by-step explanation:
Given that a cylindrical fuel storage tank has a diameter of 19 feet and a height of 34 feet, the following calculation must be performed to determine the capacity of the tank, knowing that the volume of a cylinder arises from the following formula = π x r² xh:
Radius = 1/2 diameter
3.14 x (19/2) ² x 34 = X
3.14 x 9.5² x 34 = X
3.14 x 90.25 x 34 = X
3.14 x 3,068.5 = X
9,635.09 = X
Therefore, the tank capacity is 9,635.09 square feet.
PLEASE ANSWER ASAP FOR BRAINLEST, REALLY EASY QUESTION!!!!!!!!!!!!!!!!!!!!!!!
Answer:
A
Step-by-step explanation:
Find the equation of a circle whose center is at (8, -3) and radius 6.
Answer:
[tex] { (x - 8)}^{2} + {(y + 3)}^{2} = 36[/tex]