The function f(x)=21,500(0.86)^x models the value of a car after x years. What is the yearly depreciation rate of the value of the car?
Answer:
The car loses 14 percent of its value each year.
Step-by-step explanation:
subtract .86 from 1 to get the value of depreciation
Marsha deposited $6,500 into a savings account 3 years ago. The simple interest rate is 2%. How much money did earn in interest?
Answer:
6,897.25$ raw
397.25$ earned
Step-by-step explanation:
6,500(.02) = 130 + 6500
6630(.02) = 132.6 + 6630
6762.6(.02) = 135.25 + 6762.6
6,897.25$
the Money he earns in interest is 390$ and his new account balance would be 6890$.
What is simple interest?Simple interest is the amount of interest charged on a specific principal amount at a specific interest rate. Compound interest, on the other hand, is the interest that is computed using both the principal and the interest that has accumulated over the preceding period.
given, Marsha deposited $6,500 into a savings account 3 years ago. The simple interest rate is 2%.
from the general formula of Simple interest:
Simple interest(SI) = p*r*t/100
where, p = principal amount
r = rate of interest
t = time
in our case
p = 6500, r = 2%, t = 3
Thus,
SI = 6500 * 2 * 3/100
SI = 390$
Thus total amount = 390 + 6500 = 6890
therefore, the Money he earns in interest is 390$ and his new account balance would be 6890$.
Learn more bout simple interests here:
https://brainly.com/question/22621039
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Which of the following best shows the distributive property?
Group of answer choices
2 + 3 = 3 + 2
2 + (2 + 3) = (2 + 2) + 3
2(2 + 3) = 2(5)
2(2 + 3) = 2(2) + 2(3)
Answer:
2+(2+3)= (2+2) +3
Step-by-step explanation:
Hope this helps
Answer: 2+(2+3)=(2+2)+3
can i get a bit of help
4(2x^3y^4)^4
__________
2(2x^2y^6)^3
simplify and show work
Answer:
Step-by-step explanation:
Note the following: 2^4 = 16; (x^3)^4 = x^12; and (y^4)^4 = y^16
Then your 4(2x^3y^4)^4 becomes 4*16*x^12*y^16
Which of the following points lies on the graph of this equation? y = -8x
A. (0, 0)
B. (1, 0)
C. (-1, -1)
D. (0, -8)
Answer:
d
Step-by-step explanation:
It just simply is. you know what i mean
Margo can purchase tile at a store for $0.89 per tile and rent a tile saw for $12. At another store she can borrow the tile saw for free if she buys tiles there for $1.19 per tile. How many tiles must she buy for the cost to be the same at both stores?
Answer:
yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no yes no
Step-by-step explanation:
Distributiveproperty for -2(1/3x-1/5)
Answer:
-2(1/3x-1/5) -2/3x+2/5
Step-by-step explanation:
You have to distribute, so u do -2 (1/3x) and get -2/3x then you do -2(-1/5) and get 2/5. Your answer would be -2/3x+2/5
Which of the follow would make the statement true when inserted on the line?
Answer:
D
Step-by-step explanation:
If the radius of a circle is 5, what is the circumference? Use π=3
Answer for prompt 1 If the radius of a circle is 5, what is the circumference? Use π=3
circumference formula: 2πr
given:
radius = 5 (r in the formula stands for radius)
π = 3
- simply pluggin what you have.
2πr
2(3)(5)
= 30
circumference = 30
-- let me know if you have any questions regarding this.
Jada deposited $40,000 into her savings account. Her bank has a 5% interest rate. When (in years and months) will Jada earn $6500 in interest for her savings account? Show work
Answer:
5 years
Step-by-step explanation:
and 11 months
Answer:
5 years and 11 months
Step-by-step explanation:
HOPE IT HELPS :)
A store manager combines trail mix that is 30% raisins with a trail mix that is 55% raisins. He makes 800lb of trail mix that is 40% raisins. How many pounds of each trail mix does the manager use?
Answer:
320 pounds of 55% raisins trail mix
480 pounds of 30% raisins trail mix
Step-by-step explanation:
Sorry, I can’t write how I got the answer. We just did it in class and decided to help... (Btw, sorry if I’m too late)
The store manager mixed 320 pounds of 55% raisins trail mix and 480 pounds of 30% raisins trail mix.
Given that,
A store manager combines a trail mix that is 30% raisins with a trail mix that is 55% raisins.
He makes 800lb of trail mix that is 40% raisins.
We have to determine,
How many pounds of each trail mix does the manager use?
According to the question,
Let, x = pounds of trail mix 30% raisins
y = pounds of trail mix 55% raisins
The distributor wants to make 800 pounds of trail mix, thus:
x + y = 800
The mix must be 40% raisings as a combination of x and y, thus:
30x + 55y = 40 × 800
30x + 55y = 32,000
Divided by 5 the equation
6x + 11y = 6400
Solving both the equation
[tex]x + y = 800\\\\x = 800 -y\\[/tex]
Substitute the value of x in equation 2,
[tex]6x + 11y = 6400\\\\6 (800-y) + 11y = 6400\\\\4800 - 6y +11y = 6400\\\\5y = 6400-4800\\\\5y = 1600\\\\y = \dfarc{1600}{5}\\\\y = 320[/tex]
Substitute the value of x in equation 1
[tex]x + y = 800\\\\x + - 800 -y\\\\x = 800-320\\\\x = 480[/tex]
Hence, The store manager mixed 320 pounds of 55% raisins trail mix and 480 pounds of 30% raisins trail mix.
For more details refer to the link;
https://brainly.com/question/3228027
Sandy is upgrading her Internet service. Fast Internet charges $30 for installation and $46.45 per month. Quick Internet has free installation but charges $53.95 per month.
Complete the equation that can be used to find the number of months after which the Internet service would cost the same. Use the variable x to represent the number of months of Internet service purchased.
Answer:
uh 463.6.
Step-by-step explanation:
need hel,p, please
will give brainly
Answer:
C
Step-by-step explanation:
I want to say C because it is the best answer there sorry if I am wrong.
How many solutions does this have?
Step-by-step explanation:
A i think try solving u will get x and y each one solution
Choose the symbol to make the following statement true. 4 yd. ___12 ft. A. C . =
Answer:
C. =
Step-by-step explanation:
Note the conversion for Yard to Feet.
1 yard = 3 feet.
In this case, it is given to you that there are 4 yards. Multiply 4 with 3 to get the amount of feet:
4 yd x 3 ft per yd = 12 feet per 4 yd.
12 ft. = 12 ft., ∴ 4 yd. = 12 ft.
A map has a scale of ¾ inch represents 6 miles. If two towns are 32 miles apart, what is their distance apart on the map?
Answer:
The answer is a number that you get when you learn how to solve it
Step-by-step explanation:
The guy above me is correct
This figure is a tetrahedron. What is the area of its base?
62.4 square units
36 square units
124.8 square units
22.4 square units
Each statement describes a transformation of the graph of y = x. Which statement correctly describes the graph of y = x + 10?
A. It is the graph of y = x translated 10 units to the right.
B. It is the graph of y = x where the slope is increased by 10.
C. It is the graph of y = x translated 10 units up.
D. It is the graph of y = x translated 10 units down.
Answer:
C
Step-by-step explanation:
since it is the slope form y = mx+b
b = y axis
so in order to go up you have to translate upwards
hope this helped ;)
The line of best fit is shown on the scatter plot below. What is the equation of the line of best fit?
A: y=−5/4x+9
B: y=−1/2x+9
C: y=−5/4x−9
D: y=−x+9
if someone could answer at least one for me that would be awesome! TYYY :D
Answer:
1. 672 inches
Step-by-step explanation:
Question #1
The formula for the volume of a triangular prism is:
V = [tex]\frac{bh}{2}[/tex]
Where V is the volume, b is the area of the base, and h is the height. You are given the volume and the height. Plug those numbers into your equation.
[tex]4704 = \frac{b(14)}{2}[/tex]
Now, solve for b. To do this, you must isolate the variable b.
The first step to do this is to multiply both sides by 2. This will get you:
4704(2) = 14b
9408 = 14b
Now, divide both sides by 14 to get:
672 = b.
Therefore, the area of the base is 672 inches.
Question #2
To solve this problem, separate the figure into 2 shapes. You have a triangle with a base of 6 cm and a height of 6 cm, as well as a semicircle with a radius of 3 cm.
After you do this, find the area of each shape separately.
The formula for the area of a triangle is:
[tex]A = \frac{bh}{2}[/tex],
where A is the area, b is the length of the base, and h is the height. You know the base and the height, so plug those into your equation. You will get:
[tex]A = \frac{6*6}{2}\\\\A = \frac{36}{2}\\\\A = 18[/tex]
Now you know that the area of the triangle is 18 cm^2.
Let's find the area of the semicircle.
The formula for the area of a semicircle is:
A = [tex]\frac{1}{2}[/tex]π[tex]r^2[/tex]
You know the radius, so plug that in to get:
A = [tex]\frac{1}{2}[/tex]π([tex]3^2[/tex])
A = [tex]\frac{1}{2}[/tex]π(9)
Simplify this to get:
A = 4.5π.
Now, either multiply 4.5 by π to get:
14.1371669412 cm^2
or, multiply 4.5 by 3.14 to get:
14.13 cm^2.
Then, add the area of the triangle, 18 cm^2, by the area of the triangle, 14.13, to get:
32.13 cm^2.
Hope this helps!
PLEASE HURRY!
Akira has $4,101 in a savings account. The interest rate is 4.5%, compounded annually. To the nearest cent, how much will she have in five years?
Please use the equation y=a(1+r)^t
Answer:
i think its , Use y=a(1+r)^t; here y = $4101(1 + 0.04)^5 = $4989.49
sorry if im wrong
Plz help. due soon!!!!
Two right triangles are graphed on a coordinate plane. One triangle has a vertical side of 2 and a horizontal side of 6. The other triangle has a vertical side of 10 and a horizontal side of 30.
Could the hypotenuses of these two triangles lie along the same line?
No, because they are not similar triangles
No, because one is larger than the other
Yes, because they are both right triangles
Yes, because they are similar triangles
Answer:
D) Yes, because they are similar triangles
Step-by-step explanation:
Answer:
no, because one is larger than the . other
Step-by-step explanation:
PLEASE PLEASE HELP ME
Jude graphed the inequality s
Answer:
The graph is correct
Step-by-step explanation:
This is because the graph is representing all values that are less than -9 since the arrow is going to the left from the closed circle -9
Help pls Ill thank you and give you brainlist
When a coefficient is side by side with a variable it means to _______
Example: 4z
Answer:
After simplifying, the first step in solving an equation with a variable on both sides is to get the variable on one side. This is done by reversing the addition or subtraction of one of the terms with the variable
Karen went into a store, and came across 3 customers.
One customer had a chocolate bar that she 'needed'.
Karen took her to the manager and claims she stole the chocolate bar.
The manager checked the cameras.
Fortunately for the customer, there were X amounts of cameras in the candy isle.
In the meat aisle, there were 14 cameras (Definitely)
In the bread aisle, there were 2 cameras. (Makes total sense XD)
In the candy aisle, where the incident happened, there were twice as many cameras as in the meat aisle combined.
How many cameras had proof of the incident?
Answer:
this question makes no sence but I'll go with 8
Please help me answer and actually answer
Answer:
the first one
Step-by-step explanation:
you can not see the exact amount of volunteers worked exactly 4hours
What is the slope of the line on the graph? ill give brainlist
Answer: I guess the slope is m=-1/3
Step-by-step explanation: Hope it helps :)
answer quick and show work
gina will pay $14 for fabric at a craft store. the tax rate is 8.5%. how much will she pay for her fabric including tax
Answer:
$15.19
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = $15.19
Answer:
$15.19
Step-by-step explanation:
Write an equation
8.5% of 14 =
Convert percent into decimal:
8.5% = 0.085
"Of" means to multiply so multiply 0.085 to 14
0.085 x 14 = $1.19
14 + 1.19 = $15.19
Hope this helps!
PART A: complete the two-way frequency table
PART B: What statement about this is true?
A. More children then adult were surveyed
B. The same number if adults & children prefer fruit
C. More people prefer vegetables
D. More people prefer fruit
E. More adults than children prefer vegetables
PART C. complete the table using the information from the table from PART A