Janine plans to deposit $20,000 at the end of each year for eight years into an investment account. The mutual funds containing stocks what continue to yield 6% per year. Find the future value.
Answer:
$197,949.40
Step-by-step explanation:
Just took the quiz.
If the measure of arc RT = 80 degrees and the measure of arc US = 40 degrees, what is the m<2?
Jim Tree sells trees. The mean length of the trees purchased was 68 inches with a standard deviation of 10 inches. Jim wants to know what percent of his sales were more than 84 inches tall. He can use the standard normal distribution to help him.
Answer:
Follows are the solution to this question:
Step-by-step explanation:
Given value:
[tex]\to X = 84\\\\\to \mu = 68\\\\\to \sigma= 10\\\\[/tex]
Using formula:
[tex]\bold{Z= \frac{X-\mu}{\sigma}}[/tex]
[tex]= \frac{84-68}{10}\\\\ = \frac{16}{10}\\\\=1.6[/tex]
Calculating the percent of the sales which is less than or equal to 84 inches:
[tex]\to P(Z \leq 1.6)=0.9452[/tex]
[tex]= 0.9452 \times 100\\\\ =94.52\% \approx 95.5\%[/tex]
Calculating the remaining value [tex]100-94.5=5.5\%[/tex] were more than 84 inches.
A map is shown.
How far is Sandra's house from Johnny's house?
Answer:
1681 miles
By Pythagoras theoram
The diameter of a cylinder is 2,000 in. The height of the cylinder is 8,000 in. What is the approximate volume of the cylinder? Use 3.14 for pi
the volume of the cylinder is 25,120,000,000 cubic in.
A line passes through the points (-3,0) and (2,5). Find its equation in general
form.
Drag tiles to match each fraction, decimal, or percent to an equivalent number.
24/25 3/5 9/50 26% 0.35
0.96 60% 0.18 13/50 7/20
PLEASE ANSWER ASAP
Answer:36%=9/25 17/50=34% 0.18=18% 1/4=0.25 Hope that helped:)
Step-by-step explanation:
The solution to the equation is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is given by
a)
24 / 25
The value of the fraction A = 24/25 is
A = 0.96
Therefore , A = 24/25 = 0.96
b)
3/5
The value of the fraction A = 3/5
Multiply the numerator and denominator by 20 , we get
A = 3/5 x 20/20
A = 60 / 100
A = 60 %
Therefore , A = 3/5 = 60 %
c)
9/50
The value of the fraction A = 9/50
Multiply the numerator and denominator by 2 , we get
A = 3/5 x 2/2
A = 18 / 100
A = 0.18
Therefore , A = 9/50 = 0.18
d)
26 %
The value of the fraction A = 26 %
Convert the percentage A = 26 % into fraction , we get
A = 26/100
A = 13 / 50
A = 13/50
Therefore , A = 26 % = 13/50
e)
The value of the fraction A = 0.35
Convert the decimal A = 0.35 to fraction , we get
A = 35 / 100
Divide the numerator and denominator by 5 , we get
A = 7 / 20
Therefore , A = 0.35 = 7 / 20
Hence , the value of the equation A is
a) 24 / 25 = 0.96
b) 3/5 = 60 %
c) 9 / 50 = 0.18
26 % = 13 / 50
0.35 = 7 / 20
To learn more about equations click :
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Pls help I need this answer asap I got 10 min left :(
Answer:
Initial Value: 4
ROC: - 4/5
Step-by-step explanation:
I know you're short on time, if you want an explanation, let me know!
Answer:
Step-by-step explanation:
Which value is a solution of the inequality 1/4 y
_ >8
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every 2 months. The overcharged amount w varies directly with time t . (a) Find the equation that models the variation . (b) Solve the equation to find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked. Show all your steps
Answer:
20 months
Step-by-step explanation:
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months. The overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex].
(a)
As the overcharged amount [tex]w[/tex] varies directly with time [tex]t[/tex],
[tex]w=kt[/tex]
Here, [tex]k[/tex] is a constant.
A leaky valve on the water meter overcharges Ahmed for one Liter of water for every [tex]2[/tex] months.
Put [tex]w=1\,,\,t=2[/tex]
[tex]1=2k\\k=\frac{1}{2}[/tex]
So,
[tex]w=\frac{t}{2}[/tex]
(b)
To find the number of months it will take for Ahmed to be overcharged for 10 liters of water leaked, put [tex]w=10[/tex] in [tex]w=\frac{t}{2}[/tex]
[tex]10=\frac{t}{2}\\\\t=10(2)\\[/tex]
[tex]t=20[/tex] months
Find the Total surface area
A prism 11 in tall with a right triangle for a base with side lengths 6 in, 8 in, and 10 in.
A) 344 in2
B) 383 in2
C) 312 in2
D) 288 in2
Answer:
You may not recognize this...but the base forms a "Pythagorean" right triangle with legs of 6 and 8 cm
The area of a right triangle is (1/2) ( product of leg lengths)
So...the area of the base = (1/2) (6 * 8 ) = (1/2) 48 = 24 cm^2
And the volume of the prism is just the base area x height = 24 x 7 = 192 cm^2
Step-by-step explanation:
Plz help I need this for my grade report cards are coming out
Answer:1.5
1st box: 0.75
2nd box: 1.5
3rd box: 3
4th box: 28
Step-by-step explanation:
First I got the 4th box. I found out 3.5x2=7, and 7x2=14. So I know the pattern is multiply by 2.
Then I got the 3rd box. I used a proportion. (14x6)/28= 3
Then the 2nd box. I did (3x7)/14=1.5
Lastly, I did the 1st box. (1.5x3.5)/7= 0.75
I hope that helped :)
Answer:
1.19
69.9
Per
6 have a great day
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13wanna help a fellow hawt person out?
Answer:
50
Step-by-step explanation:
You gotta add up 38 and 12 because it reflects and it's the same across ABC
You buy a new computer for $2000. The computer decreases value by 25% each year. Given the equation V(t)=2000(.75)t , where V represents the computer's value in dollars and t represents the time in years. After how many years will the computer be worth half the original value? Give your answer to 3 decimal places.
Answer: You would need 3 years till the total value is less than the 2,000.
Step-by-step explanation:
Year 1.) 1,500
Year 2.) 1,125
Year 3.) 843.75
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease. y=38(1.108)^x
Step-by-step explanation:
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4%
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
We are given this function:
y=8700* (1.04)^{4}y=8700∗(1.04)
4
8700 is the initial amount.
1.04 shows the change of original amount. This is decimal form of percentage. We need to transform it into regular percentage.
1.04 * 100% = 104%
Now we observe this number. If it is greater than 100% we have growth, if it is lower than 100% it is decay, and if it is equal to 100% than there is no change.
In our case this number is greater than 100% so we have growth. To determine the percentage rate we must substract 100% as it represents the original amount.
104% - 100% = 4
This would be our solution if we don't have an exponent.
We have exponent so first step is to calculate the number and then we repeat the steps from above.
1.04^{4} = 1,169858561.04
4
=1,16985856
1,16985856 * 100% ≈ 116,99%
116.99% - 100% = 16.99%
So, final solution is growth of 16.99%
Factor completely:
x³ - 9x
Answer:
x(x+3)(x-3)
Step-by-step explanation:
Factor out common term x
=x(x^2-9)
Factor x^2-9;
(x+3)(x-3)
=x(x+3)(x-3)
Answer:
x(x + 3)(x - 3)
Step-by-step explanation:
What we're given is a difference of squares multiplied by x. If we start by factoring x out, we can simply expand the binomial:
x³ - 9x
= x(x² - 9)
= x(x + 3)(x - 3)
Any time you see an expression in the format a² - b², that is called a difference of squares, and can always be expanded out to (a + b)(a - b). In this case, a is x, and b is 3.
help with this too!!
Answer:
a
Step-by-step explanation:
A football field measures at 100 yards with 2 end zones. There are 2 end zones. Each end-zone is 10 yards long. What is the total length of the football field in feet?
Answer:
360 feet.
Step-by-step explanation:
If there are 2 end zones each measuring 10 yards long then that means that both together measure 20 yards long. We add this to the 100 yards of the field and we get a total length of 120 yards. Now we can simply turn this into feet, we know that ...
1 yard = 3 feet
120 yards = x feet
120 * 3 = x
360 feet = x
Finally, we can see that the length of the football field is 360 feet.
What is 69.37 minus 1.93
Answer:
the answer is 67.44 hope it helps smile
Given f(x) = 4x - 1 and g(x) = x2, choose
the expression for (fºg)(x).
Click on the correct answer.
Step-by-step explanation:
step 1. f°g(x) = f(x^2)
step 2. f(x^2) = 4(x^2) - 1
step 3. answer: 4x^2 - 1
For the past several years, the high school theater department has performed a musical in their auditorium. Each year since the first, they have raised ticket prices by $0.25, however the department has also noticed a decline in the number of people attending each year. This year, they are analyzing the ticket prices, attendance, and sales to determine the ticket price that maximizes their sales.
*
What is the slope and y-intercept of y=-3x+7?
Answer:
The slope is -3 and the y-intercept is (0, 7)
Step-by-step explanation:
In the slope-intercept form (y=mx+b), m is the slope and b is the y-intercept. -3 is substituted for m and 7 is substituted for b in your equation.
if the simple interest on 2000 for 4 years is 4000 then what is the interest rate
Answer:
Principal = Rs 2000
Time = 4 years
Interest = Rs 400
Now, Interest= Principal×Rate×Time/100
400= 2000×R×4/100
R= 400×100/2000×4
Step-by-step explanation:
Hope it is helpful....
Hi please help thank you so much
Answer:
23.09 ft
Step-by-step explanation:
tan = [tex]\frac{opposite}{hypotenuse}[/tex]
⇒ tan 13 = [tex]\frac{x}{100}[/tex]
tan of 13 is 0.23086
⇒ 0.23086 = [tex]\frac{x}{100}[/tex]
multiply each side by 100
⇒ 0.23086 x 100 = [tex]\frac{x}{100}[/tex] x 100
solve:
⇒ 23.0868
round to the nearest hundreth:
⇒ 23.09
In order for a rhombus to be proven using either its sides or angels, it must first be proven to be a
Answer:
It must be proven to be a quadrilateral
Step-by-step explanation:
The question is straightforward, and it requires a direct answer.
A rhombus has four sides and as such it means it is a type of quadrilateral.
So, before a shape is proven to be a rhombus, it has to first be proven to be a quadrilateral.
Find the volume of a right circular cone that has a height of 4.4 in and a base with a diameter of 3.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
12.5 in squared 3
Step-by-step explanation:
Answer:
12.5!
Step-by-step explanation:
I’m a bit slow, help please
Adult tickets to a basketball game cost $5. Student ticket cost $1. A total of 2,814 was collected on the sale of 1,150 ticket. How many of each type of ticket were sold?
Answer:
Adult: 333 tickets, Student: 1664 tickets
Find the distance between the two numbers on a number line. Write your answer as a fraction in simplest form.
3/4,1/8
Answer:
From 3 to 4,1 is 1,9 and from 4,1 to 8 it is 4,9 I think. I am sorry if I'm wrong I haven't done this is a while?