Answer: 2005
Step-by-step explanation:
Exponential function to determine the value of item after t years,
[tex]f(x)=A(1+r)^t[/tex] , where r= rate of growth, A=Initial value.
As per given , A = 7.85% = 0.0785
A = $125,000
Substitute all values in function, we get
[tex]f(x)=125000(1+0.785)^t[/tex]
When f(x)= 3A , then
[tex]3A=A(1.0785)^t\\\\\Rightarrow\ 3=(1.0785)^t[/tex]
Taking tog on both sides , we get
[tex]\ln 3=t\ln 1.0785\\\\\Rightarrow\ t=\dfrac{\ln 3}{\ln 1.0785}\\\\\Rightarrow t=\dfrac{1.09861228867}{0.0755711868471}\approx15[/tex]
The year will be 1990+15= 2005
Hence, the required year = 2005
The sum of two numbers is -18. If the first number is 10, which equation represents this situation, and what is the second number?
ОА.
The equation that represents this situation is 10 - X= -18. The second number is 28.
OB. The equation that represents this situation is 10 + x = -18. The second number is -28.
OC.
The equation that represents this situation is x - 10 = -18. The second number is -8.
OD
The equation that represents this situation is -10 + x = -18. The second number is -8.
Step-by-step explanation:
OB. The equation that represents this situation is 10 + x = -18. The second number is -28. this is the answer cause the sum means +
6a-1÷7=4. . . . . . . . . . .. . .
Answer:
a=29/42
Step-by-step explanation:
6a-1÷7=4
first write the division as a fraction
6a-1/7=4
add 1/7 to each side
6a=4+1/7
which is equal to
6a=29/7
divide both sides by 6
a=29/42
I need help with -3x + 6 = 24
Answer:
x = -6
Step-by-step explanation:
If the radius of a circle is 22.5 inches, what is the diameter?
Answer:
d = 45
Step-by-step explanation:
d = 2r
d = 2× 22.5
d = 45
Answer:
if the radius of a circle is 22.5 inches what is the area of the circle
I need help on this please n-5>-2
Answer:
I think that it is n<3
Step-by-step explanation:
(ONLY MY FRIENDS RESPOND) What is the Area of a square if it has L= 32cm and W= 20cm?
(Heres a re-made thing for my friends, sorry for the rushed handwriting, I had to do it before my mom saw, hope u guys can read it)
Answer:
640
Step-by-step explanation: and wow
Write an equation that represents the line.
use exact numbers.
Answer:
y = - 1/2x - 3.5
Step-by-step explanation:
The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day. The number of red carnations sold was 3 more than 2 times the number of pink carnations sold. Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 . How many of each carnation were sold?
Answer:
The number of :
Red carnations sold = x = 687 carnations
Pink carnations sold = y = 342 carnations
How many of each carnation were
Step-by-step explanation:
Let us represent
The number of :
Red carnations = x
Pink carnations = y
The Student Advisory Council here at PC sells red and pink carnations every year for Valentine's Day.
The number of red carnations sold was 3 more than 2 times the number of pink carnations sold.
x = 3 + 2y .....Equation 1
Red Carnations were sold for $ 0.50 each and Pink Carnations sold for $0.75 exh . The club made $600.00 .
$0.50 × x + 0.75 × y = $600
0.5x + 0.75y = 600...... Equation 2
Using substitution method:
Let us substitute, 3 + 2y for x in Equation 2
0.5(3 + 2y) + 0.75y = 600
1.5 + y + 0.75y = 600
y + 0.75y = 600 - 1.5
1.75y = 598.5
y = 598.5/ 1.75
y = 342 carnations.
Solving for x
x = 3 + 2y .....Equation 1
x = 3 + 2(342)
x = 3 + 684
x = 687 carnations
Therefore, The number of :
Red carnations = x = 687 carnations
Pink carnations = y = 342 carnations
The dot plots below show the number of sales made by Jason and Shane at work over the past seven days.
WHICH OBSERVATION ABOUT THE DATA SETS IS CORRECT?
Answer:
Step-by-step explanation:
The answer is d because Shane’s is uniform and has outliers
A plumbing company charges a $95 fee for each job, plus $65 foreach hour that the job lasts. The expression 65h + 95can be used to calculate the cost of a job in dollars, where hrepresents the number of hours the job takes to complete. Part A.What is the cost of a job that lasts 1.5 hours?
Answer:
the answer would be 160H
The cost of a job that lasts 1.5 hours is $ 192.5
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 ,
The charge of each job by the plumbing company = $ 95
The charge on each hour for each job = $ 65
The equation for the cost of a job is = 65h + 95
where h is the number of hours for the job
Now , to calculate the cost of job that lasts 1.5 hours ,
substitute the value of h as 1.5
And , the equation becomes
= 65h + 95
= 65 ( 1.5 ) + 95
= 97.5 + 95
= $ 192.5
Hence , the cost of a job that lasts 1.5 hours is $ 192.5
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ3
Sid made 60% of the free throws that he attempted. If he attempted 40 free throws at basketball practice, how many did he make?
Answer:
iON know
Step-by-step explanation:
Parker's dog will be having four puppies. Parker performs a
simulation by tossing a coin to model whether these
puppies will be male or female.
• Let heads (H) = female puppy
• Let tails (T) = male puppy
Answer:
7/10 70%
Step-by-step explanation:
based on the coin flips, 7 out of 10 of the results have at least 2 female puppies. I hope this is correct :)
Answer: A
Step-by-step explanation: took the quiz and got it right
The length of a rectangle is eight more than twice it's width. the perimeter is 96 feet. find the dimensions
Variables:
equation:
Solution:
Answer:
the length and width be 13.33 feet and 34.67 feet respectively
Step-by-step explanation:
The computation is shown below:
Let us assume the width be x
So, the length be 2x + 8
As we know that
The perimeter of the rectangle = 2(length + width)
96 = 2(2x + 8 + x)
96 = 4x + 16 + 2x
96 - 16 = 6x
80 = 6x
x = 80 ÷ 6
= 13.33 feet
So, the length would be
= 2 × 13.33 + 8
= 34.67 feet
Hence, the length and width be 13.33 feet and 34.67 feet respectively
Select three ratios that are equivalent to 4:18
Answer:
B, E
Step-by-step explanation:
2:9 is the simplified ver. of 4:18
8:36 is 2x 4:18
(NOT C: Included because the order does matter and this is a common mistake.)
Answer:
2:9 and 8:36 are the two ratios that are equivalent to 4:18
4. A bag of rice at the warehouse store weighs
15 pounds. Maya needs to buy rice for her
restaurant. Write an equation that can be
used to find the pounds of rice, p, in any
number of bags of rice, r.
(12y+2x)+4y
A. 20x+8y
B. 16y+2x
C. 19x+4y
Answer: B
Step-by-step explanation:
You are combining like terms
12y+4y=16y
16y+2x
I need help solving these two questions
3x-5x=0
x-5x=-10
Answer:
x=0 and x=5/2
Step-by-step explanation:
Combine like terms.
-2x=0
x=0/-2
x=0
-4x=-10
x=-10/-4
x=5/2
HELP ASAP I WILL GIVE BRAINLYYYY
Priscilla is drawing a map of her school that uses a scale in which 1.5 cm on the map represents 3 feet. If the first hallway has a length of 120 feet, what should the length of the hallway be on the map?
1 point
a. 40 cm
b. 60 cm
c. 30 cm
d. 45 cm
Answer: 60 cm
Step-by-step explanation: The conversion from 1.5 cm to 3 feet or 91.4 cm is 60.9 and 120 feet or 3657.6 cm divided by 60.9 is 60 cm so therefore the length of the hallway on the map should be 60 cm
A bag contains 2 red,5 blue,6 yellow, and 3 green crayons. What is the probability of selecting a red crayon, then without replacing it selecting an odd number that is (red, then green)
A.0
B.0.25
C.01
D.0.025
Answer: D.0.025
Step-by-step explanation:
Given: A bag contains 2 red,5 blue,6 yellow, and 3 green crayons.
Total crayons: 2+5+6+3=16
Probability of getting red crayon= [tex]\dfrac{\text{Number of red crayons}}{\text{Total}}[/tex]
[tex]=\dfrac{2}{16}=\dfrac18[/tex]
Without replacement, the probability of getting green crayon = [tex]\dfrac{\text{Number of green crayons}}{\text{Total}-1}[/tex]
[tex]=\dfrac{3}{15}=\dfrac15[/tex]
Required probability P(red then green)= [tex]\dfrac18\times\dfrac15=\dfrac1{40}=0.025[/tex]
Hence, correct option is D.0.025
Most complicated and written out explanation for 1 plus 1 can get 20 points and brainliest.
Answer:
looking at the equation one plus one we see there can be many answers for example we can take one plus ine and change it to a number of different questions including but not limited to 1+1 1-1 1/1 1x1 1^1 etc looking at other results we can then determine tat 1+1=2 all though alternative answers could be present
Step-by-step explanation:
Can someone help me (7th grade science) need to be done as soon as possible
Answer:
oouu I'm in 7th grade science and I already did this I can help!
(6x10^6) / (2x10^3) solve?
Answer:
3x^999000
Explantiotn
An average Smart TV costs $500. On Black Friday, the Smart TV goes on sale for $350. By what percent did the
TV go on sale?
Answer:
30%
Step-by-step explanation:
$500-$350=150
150/500 x 100
=30%
What is the approximate diameter of a sphere with a volume of 268 cm3?
A. 4 cm
B. 8 cm
C. 12 cm
D. 16 cm
Answer:
B. 8cm
Step-by-step explanation:
radius = 4cm
volume = 4/3 π r³
volume = 4/3 *3.14 *4³ (π = 3.14)
volume = 268cm³
hope it is help you
Please help please!!
-5x + y = -1x
10x - 2y = 2
Answer: Below is the first one
Step-by-step explanation: Second one is right here x=1/5+y/5
Can you find the y=mx+b?
Answer:
y=-2x+7
Step-by-step explanation:
Slope is y(2)-y(1)/x(2)-x(1)
I chose (1,5)(0,7) as my two points and got -2 as my slope
Then, I got (0,7) as my y-intercept because it was in the table.
So, the equation is y=-2x+7
(hope this helps :P)
The length of the missing side is: ?m
Answer:
85 ft
Step-by-step explanation:
for all right triangles, triangles with a 90 degree angle, the sides are equal to [tex]a^{2} + b^{2} = c^{2}[/tex] where c is the hypotenuse, or the longest side.
so... [tex]40^{2} + 75^{2} = c^{2}[/tex]
[tex]7225 = c^{2}[/tex]
c= 85
Eiman borrowed $8000 at a rate of 14.5%, compounded semiannually. Assuming she makes no payments,
how much will she owe after 6 years?
Do not round any intermediate computations, and round your answer to the nearest cent.?
Answer:
1,717,351cents
Step-by-step explanation:
Using the compound interest formula
A = P(1+r/n)^nt
P = 8000
r = 14.5% = 0.145
n = 6/12 = 1/2 (semi annually)
t = 6years
Substitute
A = 8000(1+ 0.145/0.5)*(0.5)(6)
A = 8000(1+0.29)^3
A = 8000(1.9)^3
A = 8000(2.146689
A = 17,173.512
Hence the amount owned to the nearest cent is 1,717,351cents
The perimeter of the equilateral triangle shown below is 67.5 inches. Write and solve an equation to find the value of x.
i would but i need the picture