Lana bought a sports car for $75,700. If the value of her car decreases 4.3% annually.
When using the exponential DECAY formula, what would be the value of r?
Given:
The initial value of the car = $75,700
Decreasing rate = 4.3%
To find:
The value of r in the exponential DECAY formula.
Solution:
The exponential decay formula is:
[tex]y=a(1-r)^t[/tex]
Where, a is the initial value, r is the rate of decay on decimal and t is the time period.
The initial value of the car is $75,700 and its value decreases 4.3% annually. So,
[tex]a=75,700[/tex]
[tex]r=\dfrac{4.3}{100}[/tex]
[tex]r=0.043[/tex]
The required exponential decay formula is:
[tex]y=75,700(1-0.043)^t[/tex]
Therefore, the value of r in the exponential decay formula is 0.043.
Need some help for this retake
Answer:
74
Step-by-step explanation:
you add the numbers together you get 286 and the total degree of the shape is 360 so you subract 360 and 286 so you get 74
HELP!!!! I NEED TO SUBMIT THIS WITHIN 3 HOURS!!!!!!
At a dinner party, two desserts are being served. Six of the guests choose cheesecake, and eight of the guests choose apple pie. Write two associated part-to-whole ratios for this situation, in simplest form. Then, interpret these ratios within the situation.
Answer:
6:8, 3:4
hope this helps, im not sure if im correct tho sorry
Step-by-step explanation:
1/3 divided by 4 what is the awnser for this equation
Answer:
1/12
Step-by-step explanation:
Hope this helps :)
In which 3 statements below will the number 24 correctly fill in the blank? A) 2 feet = ___ inches B) 24,000 grams = ___ kg C) 3 gallons = ___ pints D) ___ pints = 12 cups E) 240 mg = ___ grams
Answer:
A,B and C.
Step-by-step explanation:
(A) 1 feet = 12 inches
So, 2 feet = 2 × 12 inches = 24 inches
(B) 1,000 grams = 1kg
So, 24,000 grams = (24,000÷ 1,000) = 24kg
(C) 1 gallon = 8 pints
So, 3 gallons = 3 × 8 pints = 24 pints
(D) 1 pints = 2 cups
So, 12 cups = (12÷ 2) = 6 pints
(E) 1 gram = 1000 mg
So, 240 mg = (240 ÷ 1,000) = 0.24 gram
Hence, A,B and C correctly fill with 24.
h e l p
Zayn plans to deposit $850 into a savings account that pays 2.4% interest compounded annually. Angelo plans to deposit $860 into an account that pays 2.4% simple interest. They both plan to leave the money invested for 4 years. How much more money will Zayn have than Angelo at the end of the 4 years?
Answer:
Zayn= $928.72
Angelo= $880.64
Zayn has 48.08 more than Angelo.
Step-by-step explanation:
Answer:
zayn- 934.58
angelo- 880.64
Step-by-step explanation:
☽. can someone help me <3?
Answer:
84.9
Step-by-step explanation:
20 mi
12 mi
b
What is the length of the missing leg?
Answer:
13
Step-by-step explanation:
thats my answer byusing calculato
9/2 as a fraction and what is 2/3 reciprocal
Answer:
9/2 = 4 1/2 , 2/3 = 3/2
Step-by-step explanation:
The reciprocal of a fraction is switching the numerator and the denominator.
2/3, switched is 3/2.
To find the mixed form of an improper fraction, you divide the numerator by the denominator.
Like this, 9/2 = 4.5
4 is the whole.
So, 4 would be the whole number.
Then there is 1 left over.
You keep the denominator.
So it would be 4 1/2.
Find the missing length of the triangle
20 cm
12 cm
The shape on the left is a square with side length of 12 cm
This means the height of the triangle is 12cm.
Knowing the height and the hypotenuse using the Pythagorean you can solve for the base.
20^2 = 12^2 + x^2
400 = 144 + x^2
Subtract 144 from both sides:
256 = x^2
Take the square root of both sides
X = sqrt(256)
X = 16
X = 16
The 5th graders want to raise money for their overnight camping trip by selling cornbread during the school Chili Cook-Off contest. All the pans of cornbread are square. A pan of cornbread costs $12. The customers can buy any fractional part of a pan of cornbread and pay that fraction of $12. For example, ½ of a full pan costs ½ of $12.
Answer:
1 / 12 ; $1
Step-by-step explanation:
Pan was 1/4 full and she buys 1/3 of the cornbread in the pan
The fraction of cornbread she buys is :
1/3 of 1/4
1/3 * 1/4 = 1/12
Hence, she bought 1/12 of cornbread
The amount she pays :
Cost of 1 pan = $12
Therefore, the cost of 1/12 of a pan will be :
1/12 * $12 = $1
Hence, she'll pay $1
Pls answer quick!
Choose the correct simplification of the expression (a^2/b^5)^3
A. a to the 6th power over b to the 15th power
B. a to the 5th power over b to the 8th power
C. a over b to the 15th power
D. a6b15
Thanks <3
Answer:
D.......................
What is the value of the expression 3b+20 for b=30
Answer:
110
Step-by-step explanation:
3×30=90
90+20=110
hope this helps
plz can i get brainliest:)
how to do this question
9514 1404 393
Answer:
7 days
Step-by-step explanation:
(a) Filling in the given information will result in two equations in the two unknowns. Dividing one by the other will tell you the value of b.
n=2
1.8 = A₀·b²
n=3
2.4 = A₀·b³
Dividing the second equation by the first gives ...
2.4/1.8 = (A₀·b³)/(A₀·b²) = b
4/3 = b
__
(b) Substituting this into the first equation, we can find A₀.
1.8 = A₀·(4/3)²
1.8(9/16) = A₀ = 1.0125
A₀ is the value of A when n=0. It is the area of the patch at the beginning of observation, before any days passed.
__
(c) The area will be 7 cm when ...
1.0125·(4/3)^n = 7
(4/3)^n = 7/1.0125 . . . . . . . . . . . . divide by A₀
n·log(4/3) = log(7/1.0125) . . . . . . take logarithms
n = log(7/1.0125)/log(4/3) ≈ 6.72092
It will take about 7 days for the area of the patch to exceed 7 cm.
Help me solve 2 and 4
Answer:
2. answer C
4. answer C
Step-by-step explanation:
hope this helped you :)
Answer: i know 4 but i coudint find 2 but 4 is (D)
How would you show a rate of change of 3.5 meters per minute on a graph?
Answer:
i don't know
Step-by-step explanation:
HELP HELP HELP HELP
Answer:
24
Step-by-step explanation:
help me just
plz
hmmm
or let me die
please help i’ll give brainliest
Answer:
Fungi and bacteria
Hope that helps!
Step-by-step explanation:
Answer:
fungi and bacteria
Step-by-step explanation:
Find the zeros of the function f(x)=3x2−27.
Answer:
Step-by-step explanation:
Find the total surface area of the net bellow
1. 102.4 cm2
2. 357.4 cm2
3. 22.4 cm2
4. 3502.4 cm2
Answer: 102.4 cm^2
Step-by-step explanation:
find the surface area of all of the rectangles
7.2(4)=28.8
7.2(2)=14.4
7.2(4)=28.8
7.2(2)=14.4
4(2)=8
4(2)=8
add
28.8+14.4+28.8+14.4+8+8=102.4
Solve for n. n =
Fast plz
Answer:
24
Step-by-step explanation:
360 degrees, so 2+6+5+2=15
360/15=24
n=24
What is the surface area of the prism in square centimeters
Brenda took a math quiz last week. She got 21 problems correct and 4 problems incorrect. What percentage did Brenda get correct?
Answer:
84%
Step-by-step explanation:
Add the total number of questions (21+4 = 25)
divide 25 by 21
25/21 = 0.84
Multiply 0.84 by 100 to change it to a fraction
0.84*100 = 84%
The percentage that Brenda got correct was 84 percent
Nine more than the product of a number and 3 is equal to 7.
Answer:
This phrase translates to the mathematical expression:
9 + (N x 3) = 7
If you want to solve for the missing number,
N x 3 = -2
N = -2/3
Translate the sentence into an equation.
The sum of 5 times a number and 9 is equal to 4.
HELP!!!! If u answer in less then 4 minutes i will give lots of points! PLEASE
Which numbered choice below
represents the equation used to
develop the chart of values seen
at the right?
1) x + y = -5 2) y = -x + 7
3) x - y = 5 4) y = x + 5
Answer:
the answer would be (4) or y=x+5
Step-by-step explanation:
-4+5 = 1 y=1 check
0+5=5 y=5 check
and so on.
A.none
B.vertical
C.Adjacent
D.Complementary
E.Obtuse
Answer:
C. Adjacent
Step-by-step explanation:
Which equation below can be used to determine the missing angle in the triangle?
Select one:
x+75+60=180
75x+60x=180
75+60=x
x+75+60=90
Answer:You can use this fact to solve for the missing angle of a triangle. ... Remember -- the sum of the degree measures of angles in any triangle equals 180 degrees. Below is a picture of triangle ABC, where angle A = 60 degrees, angle B = 50 degrees and angle C = 70 degrees. ... Let x = the degree measure of each angle.
Step-by-step explanation:
To rent some equipment from a local hardware store, it costs $65 for 8 hours. To rent it for 12 hours, it costs $85. If the rate of change is constant, find the rate of change (cost per hour).
Answer:
it costs 7-8$ per hour
Step-by-step explanation:
the answer is estimated
turn 2 3/4 into an improper fraction
Answer:
11/4
Step-by-step explanation:
Multiply the denominator by the whole number and add it to the numerator and keep the denominator the same therefore it would be 11/4.