Jackie wants to buy a $25,000 car, but she can afford to pay only $400 per month for 5 years. If the interest rate is 8.25% compounded monthly, how much does she need to put down?
Answer:
A down payment of $5,388.50 to get the principle to $19611.50 for a monthly payment of $400 for 60 months at 8.25%
Step-by-step explanation:
I used a payment calculator
I don't know how else to solve the problem. I thought I could find the equation, but I don't think this is it, since P didn't equal 19611.50
A = P[r(1+r)n] / [(1+r)n - 1]
if you have the correct formula follow this process
A = 400 P principle ??? r = i%/12 = 0.0825/12 = 0.006875 n= 5×12 = 60
solve for P then down payment = 25000 - P
P = A / [r(1+r)n] / [(1+r)n - 1]
= A [(1+r)n - 1] / [r(1+r)n]
= 400 [(1 +.006875)60 -1] / [0.006875( 1 +0.006875)60]
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
4. The population growth rate is 3.0% per day with a current population of 30,000.
a. What is the TDouble?
b. What will the populate be in 10 years?
5. The half-life of substance X is 3.5 years. How long will it take for a 96.0 mg sample of substance X to decay and only have 3.0 mg of it remaining?
6. Paul opens a savings account with $900. He deposits $550 per month. Assume that he does not withdraw money or make any additional deposits.
a. How long will it take Paul to save $8,100?
b. How long will it take Paul to save enough money for a $250,000 house?
c. Explain why your answers to 6a and 6b make sense.
7. The doubling time of a population of flies is 20 days. If there are initially 250 flies, how many flies will there be in 46 days?
8. Suppose that a bacteria population doubles every eleven hours. If the initial population is 2,000 individuals, approximately how many hours would it take the population to reach 20,000?
1. Jim is tracking the progress of his plant’s growth. Today the plant is 8cm high. The plant grows 3.5cm per day. What will the height of the plant be on day 28? (Hint: “today” is day 0).
"The plant grows 3.5 cm per day" means that the function grows by 3.5 cm each day. We can make a function like this:
y = 8 + 3.5x
Day 0 -> Day 28 is +28 days, so plug-in x with 28 to find out how much it would have grown in 28 days PLUS the original height of the plant, 8 cm.
y = 8 + 3.5(28) <-- see how I replaced x with 28
Simplify
y = 8 + 98 = 106 cm at day 28
2. The average inflation rate of the U.S. dollar over the last six years is 2.8% per year. If a new car cost $29,000 six years ago, how much would it cost today?
2015, 2016, 2017, 2018, 2019, 2020, 2021
Just to help you imagine the years, we need to find the car's value from $29,000 in 2015 to 2021 using the idea that the car's value increases by 2.8 percent. What does 2.8 percent mean and how do we use this information to find out how much it increases? We need to convert this to a decimal so we can multiply it by 29,000 easily. First, convert 2.8% to a decimal = 0.028. Then we have to add 1 to 0.028. Why? Because we need to make sure that we still have the original 100% of the 29,000. If we forget the 1 then we're just finding 2.8% of 29,000! So, now we know that our multiplier by each year is 1.028. Now we have to multiply.
29,000 x (1.028)^6 (we have a power of 6 because remember, we are multiplying the 1.028 every year, and there are 6 years!)
Simplify: 34,226.0425 that rounds to 34,226.0425 dollars
3. The population of Mickey Village is 48,000 today. Every other year the population increases by 1,550 people. In approximately how many years will the population exceed 70,000 people?
The details of this question are confusing, so I won't answer this. Sorry, I'm really short on time. I hope I could help the best I could.
Question Progress
Homework Progress
20/32 Marks
a) Write 375 as the product of prime factors.
Give your answer in index form.
b) Work out the Highest Common Factor of 375 and 150.
Answer:
a) 375 = 3 × 3 × 3× 3 × 5
in index form it is 3 × 5³.
prime factor of,
150 = 2 × 3 × 5 × 5.
To find the HCF, multiply all the prime factors common to both numbers: Therefore, HCF = 3 × 5 × 5.
ANS : 75
hope this helps you☺️☺️
Can someone help me with this question plz Show work.
Answer:
D. 32.3
Step-by-step explanation:
Length-a
Width-b
A=ab=6.8×4.75=32.3
answer this asap I will give out brainliest test: "Birmingham was like an oven" (p 162) is an example of... *
idiom
personification
simile
metaphor
Answer:
that's confusing.. is there a picture?
John gets his first job working at an ice cream shop because he loves ice cream. He gets paid $9 per hour. Create a table to demonstrate how much money John will make from 0 - 6 hours. Let x equal the number of hours worked, and let y equal the amount of money that he will make. Then, create a graph with your results.
Answer:
1hr: $9
2hr: $18
3hr: $27
4hr: $36
5hr: $45
6hr: $54
Step-by-step explanation:
You can use Desmos, the graphing calculator (online tool)
Abigail ordered a 32 oz steak that cost $60.
(cost to weight)
If you had 2 angles that equal 180 degrees and you was given a angle of
117. What degree is the missing angle? *
Answer:
angle=63°
I hope it's helps you
can anyone help me with this and explain it will mark brainlyiest.
9514 1404 393
Answer:
x = (8/9)(4 +√7) ≈ 5.9073
Step-by-step explanation:
Maybe you want to know the value of x.
The Pythagorean theorem can be used to find the length of the bottom side of the right triangle. It is ...
bottom = √((5x)² -(3x)²) = √(16x²) = 4x
Then the cosine of the angle at lower left is ...
cos(α) = Adjacent/Hypotenuse
cos(α) = 4x/5x = 4/5
Now, the law of cosines can be used to find x. Using the angle whose cosine we just found, we have ...
(4x)² = (5x)² +8² -2(5x)(8)cos(α)
16x² = 25x² +64 -80x(4/5)
9x² -64x +64 = 0 . . . . . put in standard form
The quadratic formula can be used to find the solutions.
x = (-(-64) ±√((-64)² -4(9)(64)))/(2(9))
x = (64 ±√1792)/18 = (32 ±8√7)/9 ≈ {1.204, 5.907}
In this context, only the larger solution makes sense.
x = (8/9)(4 +√7) ≈ 5.9073
_____
Formulas used
Law of Cosines
For sides a, b, c and angle C opposite side c, ...
[tex]c^2=a^2+b^2-2ab\cdot\cos(C)[/tex]
Quadratic formula
For quadratic ax²+bx+c=0, the solutions are ...
[tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
Pythagorean theorem
For legs a, b, and hypotenuse c of a right triangle, ...
c² = a² + b²
_____
Alternate solution
As an alternative to using the Law of Cosines, you can define "y" to be the length of the dashed bottom leg of the triangle whose hypotenuse is 4x. Two equations can be written using y and the Pythagorean theorem for the right triangles in which y is all or part of a leg. This set of equations can be solved for x to get the same result as the one shown above.
help me plzzzzzzzzzzzzzzzz
Answer:
ok
Step-by-step explanation:
Answer:
post the whole problem it's cut off
32614 round to nearest 100 place?
Answer:
32600
Step-by-step explanation:
Help me with this question
Answer:
20[tex]\pi[/tex]
Step-by-step explanation:
Circumference formula: [tex]2\pi r[/tex]
Since the diameter is 20, the radius will be half of the diameter
r=d/2, where d=20
r=20/2=10
C=[tex]2\pi r[/tex]
C=2(10)[tex]\pi[/tex]
C=20[tex]\pi[/tex]
help finding arc of a circle geometry problem
What is the area of this figure?
Answer:
58m^2
Step-by-step explanation:
2x9 = 18
8x5 = 40
18+40 = 58
Fencing with the length of 840 m surrounds two identical playing fields with a common side. The fields can be side-by-side and separated by a fence, as shown in the figure. Find the dimensions in the maximum area of each field.
Answer:
x = 140 y = 105 x · y = 14700 m²
Step-by-step explanation:
good question
it looks like 3 sides of length x
and 4 sides of length y
area 1 = area 2
and the length of all the sides sum to 840
3x + 4y = 840 find the maximum area = 2· x · y
This is a calculus problem that I can't remember how solve
if x = 0 y = 210
if y = 0 x = 280 280 / 2 = 140 the mid-point the logical answer
if x = 140 y = 105 x · y = 14700 m² this appears to be the max
if x = 135 y = 108.75 x · y = 14681.25 m² smaller area
if x = 145 y = 101.25 x · y = 14681.25 m² smaller area
I need an eqaution with a quadratic and take the first derivative
y = (840 - 3x) / 4 xy = max area y = max area/x
(max area) / x = (840 - 3x) / 4 solve for x
max area = x(840 - 3x) / 4
max area = [840x/4 - 3x²/4] '
max area = 210x - 3x²/4 take the first derivative
max area = 210 - 6x/4 maximum occurs when slope = 0
0 = 210 - 3x/2
3x/2 = 210
x = 210·2/3
x = 420 / 3
x = 140 y = 105
3(140) + 4(105) = 420 + 420 = 840 checks
the 11th term of an arithmetic sequence is 57 and the sum of the first and fourth term is 29. determine the first three terms of the sequence, the formular of nth term
Let a (n) denote the n-th term of the sequence. Since the terms form an arithmetic sequence, you have
a (n) = a (n - 1) + d
for some fixed constant d. You can write any term in the sequence as a function of the first term:
a (n) = [a (n - 2) + d] + d = a (n - 2) + 2d
a (n) = [a (n - 3) + d] + 2d = a (n - 3) + 3d
and so on, down to
a (n) = a (1) + (n - 1) d
so given that a (11) = 57 (so that n = 11), you have
a (1) + 10d = 57 … … … [1]
The sum of the first and fourth terms is 29:
a (1) + a (4) = 29
but we can write a (4) in terms of a (1) :
a (1) + [a (1) + 3d] = 29
which gives us another equation in a (1) and d :
2 a (1) + 3d = 29 … … … [2]
Now solve [1] and [2] :
-2 (a (1) + 10d) + (2 a (1) + 3d) = -2 (57) + 29
-17d = -85
d = 5
a (1) + 10d = a (1) + 50 = 57
a (1) = 7
Then the n-th term of the sequence is given by
a (n) = 7 + 5 (n - 1) = 5n + 2
What is the range of 5,4,6,3,4?
Answer:
Range=2
Step-by-step explanation:
Range=Highest number-Lowest number
=5-3=2
Hope it Help
Mark Me Brillainest
Solve the system of equations.
12x-5y = -20
y =x+4
Answer:
1. 12x-5y = -20 Answer: 2(picture)
2. y =x+4 Answer: 1(picture)
Step-by-step explanation: Hope this help :D
I need the answer don’t scam with a link
WILL GIVE BRAINLIEST AND 40 POINTS TO CORRECT ANSWER (URGENT)
chef daniels places her favorite recipes in a bag for 4 pasta dishes, 5 casseroles, 3 types of chili, and 8 desserts. If Chef Daniel chooses two recipes at random (but replaces the first one before drawing the second), what is the probability that the first recipe she selects is a casserole and the second recipe she selects is a dessert?
Answer:
answer:
answe:
answ:
ans:
an:
as:
a:
:
{7x+4y=-8
{-8x-5y=13
Solve system of equation
Answer:
(x,y)=(4,-9)
Step-by-step explanation:
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
What is the solution of the equation?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The solution of the equation means the value of the unknown or variable.
The system of the equation is given below.
7x + 4y = – 8 …1
8x + 5y = –13 …2
Multiply equation 1 by 5 and equation 2 by 4. Then subtract the equation 1 from 2, then we have
32x – 35x = –52 – (–40)
–3x = –12
x = 4
Substitute the value of x in equation 1, then the value of y will be
7(4) + 4y = – 8
28 + 4y = –8
4y = –36
y = –9
The solution of the equation 7x + 4y = – 8 and 8x + 5y = –13 will be (4, –9).
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
A farmer wants to know the effect of using various amounts of fertilizer in relation to the yield of his crops. Be subdivided a portion of his land into 10 separate but essentially equal plots. He divided the land so that all of the plots had equal exposure to sun, rain, and other environmental conditions. He randomly selected 2 of the 10 plots and spread 2 pounds of fertilizer over each of them. Then he randomly selected 2 of the remaining plots and spread 3 pounds of fertilizer over each of them. He continued with the last sets of plots in the same manner, spreading 4, then 5, then 6 pounds of fertilizer over each of them. Below is a computer output for linear regression of amount of fertilizer versus yield for the 10 plots of land.
Predictor Coef SE Coef T P
Constant 10.100 0.7973 12.67 0.000
Fertiz 1.150 0.1879 6.12 0.000
Required:
What is the equation of the least squares regression line from this sample?
Answer:
The equation of line is
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
Step-by-step explanation:
The general equation of line is given as
[tex]y=mx+b[/tex]
where
y is the dependent variable which is yield in this case.
x is the independent variable which is fertilizer in this case
m is the coefficient of the fertilizer whose value is 1.150 from the given values.
b is the constant whole value is 10.100 from the given values.
Thus the equation becomes.
[tex]\text{yield}=1.15\times \text{fertilizer}+10.1[/tex]
Find the area of each figure. Use 3.14 for phone
Area of triangle: 3m
Area of rectangle: 24m
Area of semi-circle: 6.28m
Answer:
33.28 m²
Step-by-step explanation:
The figure consists of three shapes:
1) A semicircle of radius 2 m.
2) A rectangle 4 m by 6 m.
3) A triangle with base 3 m and height 2 m.
area = ½πr² + LW + ½bh
area = 3.14 * (2 m)^2/2 + (6 m)(4 m) + (3 m)(2 m)/2
area = 6.28 m² + 24 m² + 3 m²
area = 33.28 m²
HALLPPP DUE TODAY!!!! I RLLY NEED THIS DONE ASAP!! PLS AND THANK YOU!!!!
Find the compound interest
Principal: $750
Interest Rate: 6% or 0.06 Time: 2 years
Answer:92.7
Step-by-step explanation:
Use the compound interst formula: A= P(1+r)^n
750(1+.06)^2=842.7
Now substract the principal to find the compound interest : 842.7-750= 92.7
Hope it helps
MAX POINTS PLEASE HELp
part a. What are the values of x and y? If your answer is not a whole number, write it as a decimal and round to one decimal place if necessary.
part b:
Here is a triangular prism.
What is the volume of the prism, in cubic centimeters?
cubic centimeters
What is the surface area of the prism, in square centimeters?
cubic centimeters
Answer:
X=35 Y=73
Step-by-step explanation:
use the opposite angle theorem for x. X would equal 35.
we know that x is 35. So 2y+35=180
180-35=2y
y=72.5 or 73
srry I can’t help with question 2. I don’t know how
Which answer choice below describes an equation?
A
7 - X
B
x is 10 times greater than y
3
+n
5
D
Six times a number
b
x is 10 times greater then y 3+n 5
How much salt is needed to fill a pit (rectangular) that is 8 m deep and 16 m wide and 4 m long? Show work
Answer:
512
16 · 4 = 64
64 · 8 = 512
This question is probably easy but I'm not really smart so please help :(
Answer:
All I know is that the total of the provided numbers make 58 feet and that you should probably break down the shapes into 2 different shapes. Then try to find the perimeters of each shape. I'm not sure what to do afterwards. Maybe I helped jogged your memory on what to do? I hope I helped some.
Please answer someone!!!
Answer:
TrueStep-by-step explanation:
[tex]\sqrt{(xy)^3}[/tex] = [tex]((xy)^{1/2})^3[/tex] =[tex](xy)^{{1/2}*3}[/tex] =[tex](xy)^{3/2}[/tex]The answer is TRUE
True
What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.)
Complete question is;
The attached chart shows the (approximate) total number of subprime home mortgages in a state in November 2008, broken down into four categories.
What is the probability that a randomly selected subprime mortgage in the state during November 2008 was not current? (Round your answer to two decimal places.)
Answer:
Probability that the one randomly selected was not current = 0.36
Step-by-step explanation:
From the attached image, we can see that the four mortgage categories are mutually exclusive. This means that none of the 4 status depends on any other.
From the image attached;
Total number of subprime mortgages = 196,280
Number of current mortgages = 126,330
Thus;
Probability of a randomly selected subprime mortgage being current = 126330/196280 = 0.64
Then;
Probability that the one randomly selected was not current = 1 - 0.64
Probability that the one randomly selected was not current = 0.36