Saul paid off a loan with a simple interest rate of 4.7% in 9 months. What was the APR?
6.4%
8.5%
3.5%
6.3%
4.7%
Using proportions, it is found that the APR was of 6.3%.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
In this problem, 4.7% was paid in interest in 9 months. The APR is the amount that would be paid in a year, that is, 12 months.
Hence, the rule of three is:
9 months - 4.7%
12 months - x%
Applying cross multiplication:
[tex]9x = 12(4.7)[/tex]
[tex]x = \frac{12 \times 4.7}{9}[/tex]
[tex]x = 6.3[/tex]
The APR was of 6.3%.
More can be learned about proportions at https://brainly.com/question/24372153
What is the value of the expression below when n = 2.4 ?
4n X 2 + 43
You go shopping at Target and buy a board game...yes a board game. It cost $21.65. There is a 9% sales tax. What is the total
cost of the game?
Answer:
The total cost of the game is $23.60
16. At a point on the ground 20 feet from the foot of a tree, the angle of
elevation to the top of the tree is 40°. Find the height of the tree. *
HOW MANY ELEMENTS DOES A TRIANGLE HAS
?
Answer:
6
Step-by-step explanation:
3 sides, 3 angles.
I'm begging you. Please help me. Its 12:23 at night and these are the last problems. I am BEGGING you. PLEASE don't steal these points, or put in a fake link.
Step-by-step explanation:
First answer I hope it will help
reflect the figure over the line y=x+2
During a basketball game, Bari scored 28 points. During the game, Denay scored 1/4 the number Bari scored. How many points did Denay score during this basketball game?
A. 32
B. 6
C. 24
D. 7
Answer:
7
Step-by-step explanation:
1/4 of 28 = 7
HELP HELP PLEASE!! D:
Determine the missing side length!!
PLEASE NO CAP!!
Answer:
the missing side length = 3
Step-by-step explanation:
Hello There!
This is a 30 - 60 - 90 degree special right triangle
We know this because in these types of triangle the hypotenuse is equal to twice the short leg
[tex]\sqrt{3} *2=2\sqrt{3}[/tex]
to calculate the missing side length (which is the long leg)
we multiply the short leg by [tex]\sqrt{3}[/tex]
[tex]\sqrt{3} *\sqrt{3} =3[/tex]
so the missing side length is 3
The sum of two numbers is 59 and the difference is 11
Answer:
35 and 24
Step-by-step explanation:
35 + 24 = 59
35 - 24 = 11
Answer:
24 and 35
Step-by-step explanation:
x + y = 59
x - y = 11, then x = y + 11
substitute for x:
y + 11 + y = 59
simplify:
2y + 11 = 59
subtract 11 from each side of the equation:
2y = 48
divide both sides by 2:
y = 24
x = 35
Find the smallest value of m such that the LCM of m and 34 is 374.
Answer:
11
first you use a number tree
34 374
/\ /\
2 17 2 187
/\
11 17
express the numbers in prime factors
374=2×11×17
34 =2×17
in finding LCM you use the highest prime factors in this case the highest prime factors are 2, 11 and 17
So m factors are 2 and 11
which means m is 2×11=22
22 in its smallest form is 11
Please help with this!
Answer:
Expression is 2(l+w)
Step-by-step explanation:
l is length and w is width
which pair of these points defines a line with a slope 2/3? A. (2, 6) and (3, 0) B. (6, 2) and 3, 0) C. (6, 2) and (0, 0) D. (2, 6) and (0, 0)
Answer:
B. (6,2) and (3,0)
Step-by-step explanation:
To find the slope the equation is [tex]\frac{y_{2-y_{1} } }{x_{2} -x_{1} }[/tex] so for (6,2) and (3,0) the equation would look like this [tex]\frac{0-2}{3-6}[/tex] which simplies down to [tex]\frac{-2}{-3}[/tex] and a negative divided by a negative is a positive so you're slope is [tex]\frac{2}{3}[/tex] and it matches the question.
Answer:
b
Step-by-step explanation:
Which of the following is most likely the next step in the series?
Answer:
Option A is the next step in the series.
A roll of ribbon is used to tie 12 gifts which will be given to teachers on Teacher's
Day. Every gift requires a length of 1.85 m. After tying all the gifts, it was found that
2/3 of the ribbon had been used. The remaining ribbon was cut into 12 pieces of the same length. Calculate the length of each piece of ribbon that had been cut.
can someone help me answer this question plss
Each piece of ribbon that had been cut has a length of approximately 3.7 m.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The total length of ribbon to tie 12 gifts is calculated as,
⇒ 12 gifts × 1.85 m/gift = 22.2 m
The length of the ribbon remaining is calculated as,
Total length = [22.2 / (1/3)] x 2/3
Total length = 66.6 x 2/3
Total length = 44.4
The length of each piece of ribbon that had been cut is calculated as,
Length of each piece = 44.4 m ÷ 12 = 3.7 m
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Pls help im already failing and i really dont understand this
Answer:
B. 9.99 + 1.29n [tex]\leq[/tex] 50
Step-by-step explanation:
The inequality of [tex]\leq[/tex] means less than or equal to. Her limit is $50. She has already spent $9.99. Therefore if $1.29 is the cost each song, then n is the number of songs she can afford below the cost of $50.
PLEASE HELP FAST
Yesterday Jacques had a fever of 100.8 degrees. Today it has gone up to 102.3 degrees. By how much did his fever go up?
Answer:
1.5 degrees
Step-by-step explanation:
What is a common factor for the two fractional terms
11
001 01
x and
?
The terms can be written as 5)
(x) and (11)
log
(x) y).
O 5
100 100
Weißt du Deutsch, ich kann vielleicht helfen
how many true solutions are in x^2− 6x − 7 = 0
This is a similar triangle please find the missing length. (?)
Answer:
10
Step-by-step explanation:
Set up as a proportion:
[tex]\frac{QR}{QP}=\frac{BA}{BC}[/tex], insert given values
[tex]\frac{?}{12}=\frac{30}{36}[/tex], cross multiple
36*?=30*12
36*?=360, divide both sides by 36 to get the missing side (?) by itself
?=10
Find the Value of X???
Answer:
x = 5
Step-by-step explanation:
Given two intersecting chords
Then the product of the parts of one chord is equal to the product of the parts of the other chord, that is
2x × 12 = 15(x + 3) , that is
24x = 15x + 45 ( subtract 15x from both sides )
9x = 45 ( divide both sides by 9 )
x = 5
Which is the graph of the linear inequality 1/2x-2y>-6y
Answer: Are you high school because GOD that looks hard to do.
Step-by-step explanation:
what is the point slope form ?
Answer:
1/7
Step-by-step explanation:
Can someone help me please
I will give Brainiest
Don’t need to show work
Answer:
24
Step-by-step explanation:
Do tell me if you ever change your mind and want me to show work :)
Please helpppp me ! If the sum of the roots of the equation mx^2 - (6m+1)x+m^3+m^2+4=0 is equal to 7 , what is the product of its roots ? ( will give brainliest if answer correctly ) . ♡
Answer:
The product of its roots is 6.
Step-by-step explanation:
Let [tex]m\cdot x^{2}-(6\cdot m +1)\cdot x+(m^{3}+m^{2}+4) = 0[/tex], all roots are calculated by Quadratic Formula:
[tex]r_{1} = \frac{6\cdot m +1 + \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (1)
[tex]r_{2} = \frac{6\cdot m +1 - \sqrt{(6\cdot m + 1)^{2}-4\cdot m\cdot (m^{3}+m^{2}+4)}}{2\cdot m}[/tex] (2)
According to statement, we know that:
[tex]r_{1}+r_{2} = 7[/tex] (3)
By applying (1) and (2) in (3), we have the following expression:
[tex]\frac{6\cdot m +1}{m} = 7[/tex]
[tex]6\cdot m + 1 = 7\cdot m[/tex]
[tex]m = 1[/tex]
If we know that [tex]m = 1[/tex], then the roots of the polynomial are, respectively:
[tex]x^{2}-7\cdot x +6 = 0[/tex]
[tex]r_{1} = 6[/tex]
[tex]r_{2} = 1[/tex]
And the product of the roots is:
[tex]r_{1}\cdot r_{2} = 6[/tex]
The product of its roots is 6.
Mr. Kelly was checking out his items at Dunkin Donuts, he bought three bags of coffee that cost $6.75 each. There is a sales tax of 8.75%, how much will Mr. Kelly pay in total?
Answer:
$22.02
Step-by-step explanation:
3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)
find the value of x. round to the nearest tenth. the diagram is not drawn to scale
Mike buys a $ 150 pair of shoes . He has a $ 25 stored-value card and the store gives a 15 % discount if he uses the store's credit card to pay for the shoes. Mike does not use the store credit card to pay for the shoes, but he uses the stored - value card . How much does Mike pay for the shoes ? A $1 102.50 B$106.25 C $125.00 D $127.50
Hurry
a-15=4a-3
if u dont want spam then dont answer
Step-by-step explanation:
Simplify the equation to find the value of a.
Subtract 4a from both sides:
[tex] - 3a - 15 = - 3[/tex]
Add 15 to both sides:
[tex] - 3a = 12[/tex]
Divide each side by -3:
[tex]a = - 4[/tex]
What is the function g(x) created from f(x) = x ^ 2 xby moving the graph right 4 unitsadding vertical compression by factor of and shifting the graph up 6 units 1/3
Answer:
i believe its g(x) = 1/3(x+4)^2+6
Step-by-step explanation: