Using simple interest, and considering a loan of $5,000, it is found that:
a) Her monthly payment is of $74.17.
b) She will pay back $8,900.
c) The total interest amount is of $3,900.
The amount of money after t years in simple interest is modeled by:
[tex]A(t) = A(0)(1 + rt)[/tex]
In which:
A(0) is the initial amount. r is the interest rate, as a decimal.In this problem:
The loan is of $5,000, hence [tex]A(0) = 5000[/tex].The APR is of 7.8%, hence [tex]r = 0.078[/tex]10 years, hence [tex]n = 10[/tex]Item b:
[tex]A(10) = 5000[1 + 0.078(10)] = 8900[/tex]
She will pay back $8,900.
Item a:
$8,900 will be paid in 10 x 12 = 120 months, hence:
[tex]M = \frac{8900}{120} = 74.17[/tex]
Her monthly payment is of $74.17.
Item c:
Loan of $5,000, pays back $8,900, hence:
8900 - 5000 = 3,900
The total interest amount is of $3,900.
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please help me with these questions I could truly appreciate it. No link please!
Explain why an exponential or logarithmic function would not be used to model the graph from question 1?
For Question 1, what is the y intercept and explain the meaning in the context of that problem?
Answer:
see below
Step-by-step explanation:
neither would be used because for an exponential, it would be a constant increasing or decreasing, and same thing for the logarithmic. This function has a consistent wave pattern.
1. 600, y intercept is when the study began
A graph can be modeled by several functions such as exponential function, logarithm functions, linear functions, quadratic functions, etc.
The graph is neither an exponential function, nor a logarithmic functionThe y-intercept is 600The function type
An exponential function and a logarithmic function would either increase through its interval or decrease through its interval.
These functions would not increase and then decrease or decrease and then increase at different intervals.
From the attached graph, we can see that the graph increases and decreases at several intervals.
Because of this changes in the graph behavior, the graph cannot represent an exponential function or a logarithmic function.
The y-intercept
The graph cross the y-axis at y = 600.
Hence, the y-intercept is 600
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help plsssssssssssss
Answer:
with what
Step-by-step explanation:
Answer:
help with? there's nothing there
1. 543.5 = _______ ft _________ in
Answer:
uważam że nie wiem ale bym wiedział tylko muszę wiedzieć
geometry B: fill in the blank
Answer:
The circumference of a circle is the distance around the entire circle, while arc length, s, is the distance between two points on the circle.
C = 2πr = 2π( 5 ) = 10π ≈ 31.4 units
3.14 is an approximation for π.
s = θ/360° (C)
mAB = 60°/360° ( 31.4)
= 1/6(31.4) ≈5.2 units
sarah had $40 at the beginning of the week. She babysat 3 days and by Saturday had $110. what is the percent increase
Answer:
175% increase
Step-by-step explanation:
The value of the function f(x) = 5x +7 at 3 is
Answer:
22
Step-by-step explanation:
Substitute x = 3 into f(x) , that is
f(3) = 5(3) + 7 = 15 + 7 = 22
A radio tower is located 425 feet from a building. From a window in the building, a person determines that the angle of elevation to the top of the tower is 30 ∘ ∘ and that the angle of depression to the bottom of the tower is 26 ∘
. How tall is the tower?
The height of the tower is 452.66 ft
The situation will form 2 right angle triangle. One above the line of sight
and one below the line of sight.
Therefore,
Using trigonometric ratio,
tan ∅ = opposite / adjacent side
tan 30° = h(top of the tower) / 425
h(top of the tower) = tan 30 × 425 = 245.373864406
tan 26° = h(bottom of the tower) / 425
h(bottom of the tower) = 425 × tan 26° = 207.28635014
Therefore,
Height of tower = h(top of the tower) + h(bottom of the tower)
Height of tower = 245.37 + 207.29 = 452.66 ft
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Find the equation of the line passing through the points 7,2 and 9,1
9514 1404 393
Answer:
y = -1/2x +11/2
Step-by-step explanation:
The slope of the line is ...
m = (y2 -y1)/(x2 -x1)
m = (1 -2)/(9 -7) = -1/2
The y-intercept is ...
b = y -mx
b = 2 -(-1/2)(7) = 11/2
Then the slope-intercept equation is ...
y = -1/2x +11/2
_____
Alternative solution
A general form equation for the line can be ...
(y1 -y2)(x -x1) -(x1 -x2)(y -y1) = 0
(2 -1)(x -7) -(7 -9)(y -2) = 0
x-7 +2y -4 = 0
x +2y -11 = 0 . . . . . general form equation
x +2y = 11 . . . . . . . standard form equation
Note that we want the x-coefficient to be positive, so we chose the order of the points to make that be the case.
How many palindromes between 1000 and 9999 inclusive are divisible by 9?
Palindromes are numbers that remain the same, when reversed.
There are 10 palindromes divisible by 9 between 1000 and 9999
To do this, we list the numbers divisible by 9 between 10 and 99.
The numbers are:
[tex]\mathbf{A = 09,\ 18,\ 27,\ 36,\ 45.\ 54,\ 63,\ 72,\ 81,\ 90,\ 99}[/tex]
Flip these numbers
[tex]\mathbf{B =90,\ 81,\ 72,\ 63,\ 54.\ 45,\ 36,\ 27,\ 18,\ 09,\ 99}[/tex]
Combine corresponding numbers
[tex]\mathbf{AB =0990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Rewrite as:
[tex]\mathbf{AB =990,\ 1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
990 is less than 1000.
So, we have:
[tex]\mathbf{AB =1881,\ 2772,\ 3663,\ 4554,\5445,\ 6336,\ 7227,\ 8118,\ 9009,\ 9999}[/tex]
Count the numbers
[tex]\mathbf{n(AB) =10}[/tex]
Hence, there are 10 palindromes divisible by 9 between 1000 and 9999
Read more about palindromes at:
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Hemp help help help help help math math math
Answer:
x=25
Step-by-step explanation:
5x-5+ 2x+10 =180
2x-5x = 10+5
3x= 15
x=5
5(5)-5+ 2(5) +10 =180
Rico had $80. He spent 40% on snacks and 1/4 on travel and kept 1/2 of the remainder for the next day.
Answer:
$4????
Step-by-step explanation:
I searched 40% of 80 and got 32, then 1/4 of 32, which was 8, then that in half was 4. I am not sure if it is right or if 8 was the final answer.
Mike can drive 345 miles on
15 gallons of gas. How many
miles per gallon does Mike
get?
Answer:
23
if you have 15 gallons of gas and it makes it 345 miles that is 345 divided by 15 which is 23 or 023
15x2 equals 30 34 - 30 equals 4 bring the 5 down you have 45 15x3 equals 45, 45 - 45 equals 0
Waiting times to receive food after placing an order at the local Subway sandwich shop follow an exponential distribution with a mean of 66 seconds. Calculate the probability a customer waits:a. Less than 39 seconds.
Using the exponential distribution, it is found that there is a 0.4462 = 44.62% probability that a customer waits less than 39 seconds.
The exponential probability distribution, with mean m, is described by the following equation:
[tex]f(x) = \mu e^{-\mu x}[/tex]
In which [tex]\mu = \frac{1}{m}[/tex] is the decay parameter.
The probability that x is lower or equal to a is given by:
[tex]P(X \leq x) = \int\limits^a_0 {f(x)} \, dx[/tex]
Which has the following solution:
[tex]P(X \leq x) = 1 - e^{-\mu x}[/tex]
In this problem, mean of 66 seconds, hence, the decay parameter is:
[tex]\mu = \frac{1}{66}[/tex]
The probability that a customer waits less than 39 seconds is:
[tex]P(X \leq 39) = 1 - e^{-\frac{39}{66}} = 0.4462[/tex]
0.4462 = 44.62% probability that a customer waits less than 39 seconds.
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In a sequence of four numbers, the difference between each number is 7.
The sum of the four numbers is 6.
What are the numbers in the sequence?
You must show all your working.
Answer:
Step-by-step explanation:
Let x be the lowest number of the four
x + (x + 7) + (x + 14) + (x + 21) = 6
4x + 42 = 6
4x = -36
x = -9
-9 + 7 = - 2
-9 + 14 = 5
-9 + 21 = 12
-9. -2, 5, 12
solve pls brainliest
Answer:
1. -64
2.-27
Step-by-step explanation:
Hopes this helps
:)
The expression 63+81,
How can you can use the distributive property in the GCF to find a equivalent expression? Explain how can you check your answer
Answer: 9 (7 + 9)
Step-by-step explanation:
63 = 9 * 7 and 81 = 9 * 9
if 5c-2=3c, then 24c=
Answer:
24
Step-by-step explanation:
Step-by-step explanation:
24 is 3×8
so, when
3c = 5c-2
then
8×3c = 24c = 8×(5c-2) = 40c - 16
click on the link i need help
Answer:
Uuuuh thats kind of suspicious, maybe you could post your question without a link? But links are usually scams, so dont do that :)
A submersible is a type of underwater vessel. Suppose a submersible starts at a depth of 40 feet below sea level, represented by –40 feet. The table shows the submersible's change in depth from one minute to the next. Time and Depth of Submersible
2:15 p. m. 2:16 p. m. 2:17 p. m. 2:18 p. m.
–40 feet 180 feet lower 175 feet lower 185 feet lower
Answer the questions to find the depth of the submersible after 3 minutes.
1. Write and evaluate a subtraction expression to find the depth of the submersible at 2:16 p. m.
Write your answer in the space below.
2. Write and evaluate a subtraction expression to find the depth of the submersible at 2:17 p. m.
Write your answer in the space below.
3. Write and evaluate a subtraction expression to find the depth of the submersible at 2:18 p. m.
Write your answer in the space below.
4. If the submersible dove straight down, what is the distance between the submersible's starting position at 2:15 and its position at 2:18? Show your work.
Write your answer in the space below.
Step-by-step explanation:
1. -40 - 180 = -220
2. - 40 - 180 - 175 = -395
3. -395 - 185 = -580
4. starting position of submersible at 2:15 = -40
position at 2:18 = -580
therefore, their distance = -580 -(-40) = -540.
HOPE THIS ANSWER HELPS YOU!
one of the acute angles of a right angle triangle is 35 degree find the measure of the acute angle.
Answer:
55°
Step-by-step explanation:
One triangle = 180° Therefore 90°+35°+ Unknown acute angle = 180°
125°+ Unknown acute angle = 180°
Unknown acute angle = 180°-125°
Unknown acute angle =55°
Answer:
55°
Step-by-step explanation:
One triangle 180° 90+35 =125-180=55°
The cost of 1 m ribbon is ₹ 75. Find the cost of 7/5 metres of ribbon
Given that
The cost of 1 m ribbon = Rs.75
The cost of 7/5 m ribbon
→ (7/5)×75
→ (7×75)/5
→7×15
→₹ 105
The cost of 7/5 m ribbon is ₹105.
For every 3 minutes that Ginny plays on the computer, she plays outside for 10 minutes. What is the ratio of minutes Ginny plays on the computer to minutes she plays outside?
Three to Ten 3:10
...................................................
Sandy threw a ball 86 inches. She
picked it up and threw it another 12
inches. Then she threw it another 10
inches. How many feet in total, did
Sandy throw the ball?
Due tomorrow
If z=15, what would the expression z2 – 2z + 15 be equal to?
A 205
B 210
C 215
D
220
Find the equation of this line.
y=3/4x+1/4
I hope this helped :)
Answer:
Step-by-step explanation:
two points on the line are (-3,-2) and (5,4)
slope=(4-(-2))/(5-(-3)=(4+2)/(5+3)=6/8=3/4
eq. of line is
y+2=3/4(x+3)
4y+8=3x+9
4y=3x+9-8
4y=3x+1
y=3/4 x+1/4
A soap manufacturer advertises that it has increased the size of their bottle of dishwashing soap to 18.4 ounces, which is 5% more than the original size. What is the original size of the bottle?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle =New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
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Answer:
17.5
Step-by-step explanation:
i did the math and also im never wrong swear on got thats the annswer
How do I find the percent of change
Answer:
200%
Step-by-step explanation:
It increases by 3 times. Because 100% increase is a 2x increase, 200% will be a 3x increase. Therefore, your answer is 200%.
9.
Use vertex form to write the equation of the parabola.
A. y = (x + 3)^2 - 3
B. y = 2(x - 3)^2 - 3
C. y = 2(x - 3)^2 + 3
D. y = 2(x + 3)^2 - 3
Answer:
Step-by-step explanation:
hmm
HOW DO I FIND QR
PLEASE HELP
Solution: For finding QR we need to apply Pythagoras Theorem
What is Pythagoras Theorem ?
ans : Pythagoras Theorem is the sum of square of two sides which is equal to the third side or the hypotenuse. This formula is valid oy incase of Right-Angled Traingle because one of three angles here is 90°
According to this law let's apply it in the diagram shown here.
(Hypotenuse)² = (Adjacent)² + (Opposite)²(PR)² = (QR)² + (PQ)² (5x - 2)² = (QR)² + (3x - 1)² (QR)² = (5x - 2)² - (3x - 1)²After factorising both of them we get
(QR)² = 25x² - 20x + 4 - (9x² - 6x + 1)(QR)² = 25x² - 20x + 4 - 9x² + 6x - 1(QR)² = 16x² - 14x + 3QR = √(16x² - 14x + 3)So, QR is √(16x² - 14x + 3)
Explain how each location given in the table is related to the origin.
Refer to the attachment
