Answer:
It will take Meryl 15.09 months to pay off the balance.
Step-by-step explanation:
This can be calculated using the formula for calculating the present value of an ordinary annuity as follows:
PV = P * ((1 - (1 / (1 + r))^n) / r) …………………………………. (1)
Where;
PV = Present value or the cost of the new baseball equipment = $2000
P = Monthly payment = $150
r = Monthly interest rate = annual percentage rate (APR) / 12 = 19% / 12 = 0.19 / 12 = 0.0158333333333333
n = number of months it will take Meryl to pay off the balance = ?
Substitute the values into equation (1) and solve for n, we have:
2000 = 150 * ((1 - (1 / (1 + 0.0158333333333333))^n) / 0.0158333333333333)
2000 / 150 = (1 - (1 / 1.0158333333333333)^n) / 0.0158333333333333
13.3333333333333 = (1 - 0.984413453650536^n) / 0.0158333333333333
13.3333333333333 * 0.0158333333333333 = 1 - 0.984413453650536^n
0.21111111111111 = 1 - 0.984413453650536^n
0.984413453650536^n = 1 - 0.21111111111111
0.984413453650536^n = 0.78888888888889
loglinearize both sides, we have:
nlog0.984413453650536 = log0.78888888888889
n = log0.78888888888889 / log0.984413453650536
n = -0.102984160720249 / -0.00682245957075587
n = 15.0948729929724
Rounding to 2 decimal places, we have:
n = 15.09
Therefore, it will take Meryl 15.09 months to pay off the balance.
Ted puts songs A B and C on shuffle play. How many possible orders of songs can there be
Answer:
6
Step-by-step explanation:
1.A,B,C
2.C,B,A
3.A,C,B
4.B,A,C
5.B,C,A
6.C,A,B
Write with a single exponent
b. 1/10•1/10•1/10•1/10•1/10•1/10•1/10=
Answer:
1 x 10^-7
Step-by-step explanation:
Answer:
l;komjni
Step-by-step explanation:
What is perimeter of the semi circle?
Answer:
54.22 mm
Step-by-step explanation:
Find the circumference of the circle and then divide it by 2.
We start with the formula for the circumference for the circle:
C = 2πr
To find r, divide 22 by 2:
22/2=11
Now find the cicumference:
C = 2πr = 2(3.14)(11) = 108.46 mm
NOW, to find the perimeter of the semicircle, divide the circumference by 2:
108.46/2 = 54.22 mm
What is the perimeter of a square if the length of one of the diagonals is 12 cm?
6v2 cm
2412 cm
48 cm
24 cm
Answer:
Step-by-step explanation:
Use Pythagorean theorem to find the length of the square.
Length of the square = a
a² +a² = diagonal²
2a² = 12²
2a² = 144
a² = 144 ÷ 2
a² = 72
[tex]a =\sqrt{72}\\\\ = \sqrt{2*2*2*3*3}\\\\ = 2*3\sqrt{2}\\\\a = 6\sqrt{2}\\\\\\\\Perimeter= 4a\\\\ = 4*6\sqrt{2}\\\\= 24\sqrt{2} cm[/tex]
if x + 1/x = 5, find the value of x^3 + 1/x^3
Answer:
x=5/3 your answer right answer
Answer:
110
Step-by-step explanation:
The expansion (a + b)³ is
(a + b)³ = a³ + b³ + 3ab(a + b)
Then
(x + [tex]\frac{1}{x}[/tex] )³ with a = x and b = [tex]\frac{1}{x}[/tex]
= x³ + [tex]\frac{1}{x^3}[/tex] + 3x . [tex]\frac{1}{x}[/tex] (x + [tex]\frac{1}{x}[/tex] )
Thus
x³ + [tex]\frac{1}{x^3}[/tex] = (x + [tex]\frac{1}{x}[/tex] )³ - 3(x + [tex]\frac{1}{x}[/tex] )
= 5³ - 3(5)
= 125 - 15
= 110
Let g(x) be the reflection across the x-axis of the function f(x) = 7x + 3. Identify the rule for g(x).
Answer:
(x,y) => (x, -y)
Step-by-step explanation:
[tex]y = 7x + 3[/tex]
[tex] - y = 7x + 3[/tex]
[tex]y = - 7x - 3[/tex]
so
[tex]g(x) = - 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
What is the function?
Functions are often defined by a formula that describes a combination of arithmetic operations and previously defined functions; such a formula allows computing the value of the function from the value of any element of the domain.
Here given that,
Let [tex]g(x)[/tex] be the reflection across the x-axis of the function [tex]f(x) = 7x + 3[/tex]. Identify the rule for [tex]g(x)[/tex].
So,
[tex]y = 7x + 3\\-y= 7x + 3\\y = - 7x - 3\\g(x)=- 7x - 3[/tex]
Hence, [tex]g(x) = - 7x - 3[/tex].
To know more about the function
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Is this number prime or composite 70
70 is a composite number because it can be divided by numbers other than one and itself.
Answer:
70 is composite
Step-by-step explanation:
Its last digit is 0. That means it's 100% composite.
David Smith and his 2 children are going to a zoo.The admission price is:
Adult: £60
Child: £45
David has a family discount card.
Family Discount Card gives
1/4
off adult price
40% off child price
Work out the total price David pays after using his discount card
Answer:
£101
Step-by-step explanation:
60 divided by 4 = 15
15 x 3 = 45
£45 = adult price
10% of £45 = £4.50
40% of £45 = £18
£45 - £18 = £27
£27 = 1 child ticket
£27 x 2 = £56
£56 = two child tickets
£56 + £45 = £101
12. Used to prove that a conjecture is false.
a) Counterexample
c) Concluding statement
b) Inductive Reasoning
d) Conjecture
Answer:
A. Counterexample
Step-by-step explanation:
ounterexample can be a drawing, a statement, or a number.
help click all the questions
Answer:1,grams 2,b 3, id k srry
Step-by-step explanation:
One of the legs of a right triangle measures 7 cm and the other leg measures 17 cm.
Find the measure of the hypotenuse. If necessary, round to the nearest tenth.
Answer:
18.4
Step-by-step explanation:
By using the pythagorean theorem (a^2 + b^2 = c^2)
Which statement describes the translation from the graph of y = |x| to the graph of y = |x - 1| - 5?
Answer: Shift 1 unit right and 5 units down
Step-by-step explanation:
A train is traveling at 30 miles per hour.
How long will it take the train to travel 180 miles?
FREE BRAINLIEST!!!
Answer:
Six hours
Step-by-step explanation:
Answer:
6 Hours
Step-by-step explanation:
If the train travels at 30mph for 6 hours it will have traveled 180 miles.
30 • 6 = 180
I hope this helps
Simplify (p^2)^5
Paper one maths gcse question higher
Answer:
the answer is p^10 I put the explanation up
An Atlanta football player averages 67 attempts for 518 yards. The team needs 39 yards to win the bowl game, Calculate how many attempts will be needed if the footbo player keeps the ball moving at the same rate.
Expand the following 2(x-6)
Consider the sequence shown.
436, 218, 109, 54.5, 27.25,...
Select the correct explicit formula for the sequence.
a
g_n=436·0.5^{(n-1)}
b
g_n=0.5·436^{(n-1)}
c
g_n=436·2^{(n-1)}
d
g_n=2·436^{(n-1)}
Answer:
[tex](a) \to \: g_n=436·0.5^{(n-1)}[/tex]
i think the answer is
A.gn =436 . 0.5 (n-1)
Ethan has $620 to spend at a bicycle store for some new gear and biking outfits. Assume all prices listed include tax. He buys a new bicycle for $427.57. He buys 4 bicycle reflectors for $11.38 each and a pair of bike gloves for $31.41. He plans to spend some or all of the money he has left to buy new biking outfits for $57.75 each. Write and solve an inequality which can be used to determine oo, the number of outfits Ethan can purchase while staying within his budget.
Answer: 620≥ 427.57+ 11.38(4)+ (31.41) +57.75x
Step-by-step explanation:
So our limit is the 620$ that he has to spend. We know for a fact that the bike costs about 427.57 dollars. 4 $11.38 reflectors are purchased as well as gloves for 31.41. Now however many outfits he can purchase cannot exceed or go over his money limit of 620 so the variable (x) represents how many outfits he can buy without going over.
We are required to write an inequality for the problem and also solve it
The number of biking outfit Ethan can purchase is 2
Given:
Total amount Ethan has = $620
Amount of bicycle = $427.57
Bicycle reflector = $11.38
Cost of 4 Bicycle reflector = $11.38 × 4
= $45.52
Cost of bike glove = $31.41
Cost of biking outfit = $57.75
Write an inequality to solve for the number of biking outfit Ethan can purchase
let
x = number of biking outfit Ethan can purchase
620 ≥ 427.57 + 45.52 + 31.41 + 57.75x
620 ≥ 504.5 + 57.75x
620 - 504.5 ≥ 57.75x
115.5 ≥ 57.75x
x ≥ 115.5 / 57.75
x ≥ 2
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An animal shelter currently has 20 cats and 25 dogs. what is the ratio of cats to dogs? (PLEASE ANSWER QUICKLY)
Answer:
4:5
...................
Match the following expression 12(x-3)+18=4(2x-3) with the number of solutions below.
A.One solution?
B.No solution ?
Or
C.All solution?
Answer:
3/2, one solution.
Step-by-step explanation:
12(x-3)+18=4(2x-3)
12x-36+18=8x-12
12x-8x-18=-12
4x-18=-12
4x=-12+18
4x=6
x=6/4
simplify
x=3/2
Can someone smart at math help me cause a girl tried and can’t do this vodo thing my teacher gives me
HELP ME 7th grade math
What is the total amount of cardboard needed to manufacture this polyhedron? (Find the surface area)
Plz answer
A concert venue has 20 seats in the first row and an 5 additional seats in each successive row. If there are 35 rows of seats then how many people can attend a sold-out show? 3,675 190 2,100
Answer:
3,675 people
Step-by-step explanation:
First row, a = 20
Common difference, d = 5
number of terms, n = 35
Sn = n/2 {2a + (n - 1)d}
= 35/2 {2*20 + (35 - 1)5}
= 35/2 {40 + ( 34)5}
= 17.5(40 + 170)
= 17.5(210)
= 3,675 people
The answer is actually 3675.
My reasoning: Plug it in and you shall see!
ay you should help me with this tyty
Answer:
C. [tex]m=20[/tex], [tex]n=10[/tex]
Step-by-step explanation:
Since the triangle is a special 30°-60°-90° triangle, the hypotenuse is twice the size of the shortest leg. The long leg is [tex]\sqrt{3}[/tex] of the short leg.
Solve using elimination.
-6x + 2y = 14
x + 4y = -11
Answer:
8x+6y=-11
Step-by-step explanation:
collect like terms
Please help due in 10 minutes!!!!!!!
Answer:
23.42 ft is the perimeter of the hole that should be cut in the wall.
How do you find the experimental probability?
En una fabrica de cajas se producen 356 cajas por semana.¿Cuantas cajas se producen por mes?
Answer:
1.424
Step-by-step explanation:
solo multiplica 356x4
si no saben no contesten
how to solve b 2 + 5b -35 = 3b