Answer:
The amount of monthly installments is $267.30
Step-by-step explanation:
Here, we are interested in calculating the amount of the monthly is installments.
To get the amount of the installments, we need to calculate the sum of the interest and the amount borrowed.
Mathematically,
Simple interest = PRT/100
from the question;
P = principal which is the amount borrowed = $10,000
R = rate = 3.5%
T = time = 42 months = 42/12 = 3.5 years
Substitute these values into the formula for simple interest;
We have ;
S.I = (10,000 * 3.5 * 3.5)/100 = $1,225
So the total amount to
payback = interest + principal = 1225 + 10,000 = 11,225
So the amount of installments will be ;
The amount to payback/number of months
Mathematically that would be ; 11,225/42 = $267.26 which is approximately $267.30 per month
I am wondering Jake finished race at 24.53 18.44 Lacie finished the race at 18.44. What is the difference between Lacie's time and Jake's time i really dont know?
Answer:
The difference between the times is just 6.09
Step-by-step explanation:
Here, we are interested in finding the difference between the times when two athletes finished their races.
While one finished at 24.53, the other finished at 18.44; So the difference between the two will be calculated by subtracting the time which was less from the time which was more;
Mathematically, that would be 24.53 - 18.44 = 6.09
The ratio of boys to girls in Mr. Jordan's soccer team is the same as the ratio of boys to girls on Ms. Grolin's soccer team. There are 12 boys and 4 girls in Mr. Jordan's team. There are 9 boys on Ms. Grolin's team. How many girls are on Ms. Grolin's team? A. 2 B.3 C.4 D.6
Answer:
B
Step-by-step explanation:
Ms. Jordan's girls are divided by 3 than the girls. 12 ÷ 3 = 4
Same with Ms. Grolin. 9 ÷ 3 = 3. The answer is B.
-4x+1=2x-17 What is the solution for x ?
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 3}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 4x + 1 = 2x - 17}[/tex]
Move 2x to left hand side and change it's sign
Similarly, move 1 to right hand side and change it's sign
[tex] \dashrightarrow{ \sf{ - 4x - 2x = - 17 - 1}}[/tex]
Collect like terms
[tex] \dashrightarrow{ \sf{ - 6x = - 17 - 1}}[/tex]
The negative integers are always added but posses the negative ( - ) sign
[tex] \dashrightarrow{ \sf{ - 6x = - 18}}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6x}{ - 6} = \frac{ - 18}{ - 6}}} [/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 3}}[/tex]
Hope I helped!
Best regards! :D
ashley spends $12 to buy 3 pencils and 6 rulers. Jack spends $8 to buy 5 pencils and 2 rulers. what is the cost of 2 pencils and 2 rulers?
Answer:
$ 3 left ashley money
$ 1 left jacks money
$ 8 left ashley money
$ 4 left jacks money
Step-by-step explanation
3 pencils + 6 rulers = 12 - 9 = 3
5 pencils + 2 rulers = 8 - 7 = 1
12 - 4 = 8
8 - 4 = 4
Answer:
I am guessing 2 rulers are two dollars and 2 pencil are 4 dollars
Write an equation for the description
The sum of 13 and a number x is equal to 15.
7) Line Segment PR is 5 ft. Find the length of Line Segment PQ and QR. (Hint: use the segment addition postulate.)
Answer:
PQ = 1 ft
QR = 4 ft
Step-by-step explanation:
From the picture attached,
Segment PR has been divided into two parts by a point Q.
Length of segment PR = 5 feet
Length of segment PQ = (15x - 2) ft
Length of segment QR = (5x + 3) ft
Since, PR = PQ + QR
5 = (15x - 2) + (5x + 3)
5 = 20x + 1
20x = 4
x = [tex]\frac{4}{20}[/tex]
x = 0.2
PQ = 15x - 2
= 15(0.2) - 2
= 3 - 2
= 1 ft
QR = 5x + 3
= 5(0.2) + 3
= 1 + 3
= 4 ft
Emily owns 10.2 shares of stock in a company. On Friday, the stock dropped by $1.35/share. What was the total change in value of Emily’s stock? −$13.77 −$7.56 +$7.56 +$13.77
Answer:
answer is +$7.56
Step-by-step explanation:
I guess I was help full for u
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Points P, R, and S, are collinear such that R lies on PS. It is known that the ratio of
PR: RS = 1/3}. Find the location of coordinate R if P is located at (-2,-6) and is
located at (10,30).
Answer:
1,3
Step-by-step explanation:
Sorry if my English is bad
or if my answer is wrong but from my understanding,
as you can recognize from the photos, we need to understand what a collinear is. Collinear are points that are lying in the same straight line. Thus, we can transform the ratio to fractions which means 1 : 3 into 1/3
Hence, the coordinate R is 1/3 between P and S.
Therefore, to determine coordinate R, we must use the formula that is provided. P is (X1, Y1), S is (X2,Y2), M1 is 1 or the Numerator and M2 is 3 or The denominator.
Can someone answer fast.plsss
Answer:
a
Step-by-step explanation:
sec (thita) = squrt (5)
squaring on both sides:
sec^2 (thita) = 5 - equation 1
1 + tan^2 (thita) = 5
tan^2 (thita) = 4
tan (thita) = 2.
= tan (thita) - squrt(5)sin(thita)
= 2 - squrt(5) x 2/ squrt(5)
= 0
from eqn - 1
sec(thita) = squrt(5)
cos(thita) = 1/ squrt(5)
sin(thita) = squrt ( 1- 1/(squrt (5))^2)
sin(thita) = 2/ squrt(5) .
Help plssssssssssssss
Answer: Midpoint= (3,3)
Step-by-step explanation: Midpoint formula [tex]MP= (\frac{x_{1}+x_{2} }{2}), (\frac{y_{1}+y_{2} }{2} )[/tex]
[tex]MP= (\frac{8+-2 }{2}), (\frac{12+-6 }{2} )[/tex]
[tex]MP= (\frac{6 }{2}), (\frac{6 }{2} )[/tex] 6 divided by 2 = 3
[tex]MP= (3,3)[/tex]
This is trigonometry!
I need help with what it means when it says “adjacent for 20 degrees” , “hypotenuse for 20 degrees” etc. ! Thanks
Answer:
Adjacent for 20° = 17.3mm
Hypotenuse for 70° = 120mm?
Opposite for 70° = 17.3mm
Hypotenuse for 20° = 120mm?
Adjacent for 70° = 10mm
Opposite for 20° = 10mm
Step-by-step explanation:
I think "Adjacent for 20°" is asking the length of the side adjacent to 20° (Although the Hypotenuse is adjacent to 20° don't answer its length because Hypotenuse are ALWAYS opposite to the 90° of a right triangle). The "Opposite for 70°" is asking the length of side opposite to 70°.
Also, I really don't know why the hypotenuse is 120mm because by the Pythagorean Theorem, it should 19.98mm (20mm if rounded to the nearest tenths).
Answer:
"adjacent" is the short ray that makes up the angle. "opposite" is the side not touching the angle.
Step-by-step explanation:
Since your question text involves identifying adjacent and opposite, that's what we'll explain.
In a right triangle, the hypotenuse is the side opposite the right angle. For the purposes here, it is always referred to as the hypotenuse. It is the longest side in the right triangle.
__
Each acute angle in the right triangle has the hypotenuse on one side. The other side forming the angle is called the adjacent side.
The remaining side of the triangle (not the hypotenuse, and not the adjacent side) is the one opposite the angle. It is called the opposite side.
__
In the first attachment is a triangle with sides and angles labeled. Each angle is labeled with an upper-case letter (A, B, C), and each side opposite that angle is labeled with the corresponding lower-case letter (a, b, c). This is a customary way to label triangle sides and angles. (The right angle is not always C.)
So, for angle A, the hypotenuse is c, and the adjacent side is b. The side opposite is a.
For angle B, the hypotenuse is c (still), and the adjacent side is a. The side opposite is b.
__
The second attachment applies these ideas to your first (upper left) triangle.
__
As for the applicable formulas, the mnemonic SOH CAH TOA is often helpful. It is intended to remind you that ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
Then the applicable formulas clockwise from left are for Cos, Sin, Cos.
"What went wrong" in the 30° triangle is that somebody used a calculator in radians mode, not degrees mode, when they tried to compute the sine. A couple of errors were made, because sin(30 radians) is about -0.988, so the minus sign was dropped, too. (You always need to check that the calculator is in the right mode.)
What is a unit rate?
Answer:
The numbers or measurements being compared are called the terms of the ratio. A rate is a special ratio in which the two terms are in different units. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
Answer:
Unit rate is used to compare quantities in which the second quantity is one. Common examples of unit rate would include, miles per hour earnings per hour cost per gallon.
Step-by-step explanation:
It's also your rise over run, remember to look at the unit of measurement when counting. Example, If rise over run is 1Mile/15min. That's a unit rate.
simplify the following expressions ( use distributed property )
Answer:
x - 3y
Step-by-step explanation:
Step 1: Write expression
[tex]\frac{3x-9y}{3}[/tex]
Step 2: Factor
[tex]\frac{3(x-3y)}{3}[/tex]
Step 3: Simplify
x - 3y
!!20 POINTS!!
What are the names of three collinear points?
Answer: L, J, K
Step-by-step explanation:
L, J, and K are collinear because they all lie on the same line.
Round 3,567 to the nearest thousand
[tex]\text {Hey there!}\\\\\text {3,567 to the nearest thousand}\\\text {First, we look at the 5 in the hundreds.}\\\text {3567 nearest thousand is 4,000 because if the number is 5, it will goes to the end.}\\\\\text {Hope this helps!}\\\text {-TestedHyperr}[/tex]
How many solutions does the following system of equations have?
v=3x +2
2v=5x+8
Answer:
The answer is C, zero solutions.
Step-by-step explanation:
y = 5/2x + 2
2y = 5x + 8
Multiply 2 to the first equation.
2y = 5x + 4
Compare it with the other equation
2y = 5x + 4
2y = 5x + 8
Cancel 2y and 5x on both sides.
Remaining:
4 = 8
4 ≠ 8. Therefore, the answer is C, zero solutions.
57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/
Answer:
how many toys are in each group?
57 toys are split into groups of 4 toys. What question do we need to answer here? pls answer quick! this test is already missing and I need to complete it! please no wrong answers :(( it's due in like 20 mins :/
Answer:
im thinking its how many toys you need in each group?
Step-by-step explanation:
7 - 5/2 (8r - 6) + 2r =32
Answer:
r=-5/9
Step-by-step explanation:
Factor out the 2 from the expression
Reduce the numbers with the greatest common factor 2
Distribute the 5
Add Like terms
And then divide to get r
HELP!!!!!!!!!!!!!!!! URGENT question below
Let's solve your equation step-by-step.
3x−5x+14=26
Step 1: Simplify both sides of the equation.
3x−5x+14=26
3x+−5x+14=26
(3x+−5x)+(14)=26(Combine Like Terms)
−2x+14=26
−2x+14=26
Step 2: Subtract 14 from both sides.
−2x+14−14=26−14
−2x=12
Step 3: Divide both sides by -2.
−2x
−2
=
12
−2
x=−6
Answer:
x=−6
Sam and James needed a midnight snack. They found
a cake that Sam's mom had just made that day. Sam
and James were the first to eat the cake. If Sam ate
2s of the cake and James ate of the cake, how
much of the cake was left?
Answer:
if the cake was full the slices remined were four
the midpoint of ab is m (3,-4). If the coordinates of A are (8,-5), what are the coordinates of B
Answer:
work is attached and shown
The coordinates of the midpoint will be (-2,-3).
What is coordinate geometry?A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
A midpoint is a point that lies on a line connecting two other locations and is in the middle of the line. Given that the midpoint of AB is M(3,-4) and the coordinates of A are (8, -5).
The midpoint will be calculated by using the formula below:-
( 8 + x ) / 2 = 3
( 8 + x ) = 6
x = -8 + 6 = -2
( -5 + y ) / 2 = -4
( -5 + y ) = -8
y = -8 + 5 = -3
Therefore, the coordinates of the midpoint will be (-2,-3).
To know more about Coordinate geometry follow
brainly.com/question/18269861
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how much can an 55 affect my overall 100 grade?
Answer:
Depends on how many assignments you've completed.
Step-by-step explanation:
The accumulated overall grade is all about percentages, everything's a ratio when it comes to grades.
Answer:
it can bring it down alot
Step-by-step explanation:
it also can make your redo the grade
Solve the compound inequality 2.1 – 3 < 7 and 5 - 3 < 8
Step-by-step explanation:
2.1--3<7.
--0,9<7
true
5--3< 8
2<8
true
Solve the equation
6 - ( 3 - c ) = 2
Answer:
c = -1
Step-by-step explanation:
6 - (3 - c) = 2
6 - 3 + -(-c) = 2
3 + c = 2
c = 2 - 3
c = -1
Check:
6 -(3-(-1)) = 2
6 - (3+1) = 2
6 - 4 = 2
Answer:
C=-1
Hope this helped! :) if it was correct please give me brainliest!
Mr Cole made this diagram of his bedroom. Which is the area of Mr. Cole's bedroom?
10 ft
5 ft
4 ft
8 ft
A 90 square feet
B 82 square feet
c 72 square feet
D 36 square feet
Answer:
B
Step-by-step explanation:
area =area of full shape - area of B
=10×9-4×2
=90-8
=82
Most brainliesttttttttttttttttttttttttttt
Answer:
88
Step-by-step explanation:
d=6 f=2
(6)^2 + 26(2) =
36 + 26(2) =
36 + 52 =
88
Answer:
88
Step-by-step explanation:
Given
d² + 26f , substitute d = 6 and f = 2 into the expression
= 6² + 26(2)
= 36 + 52
= 88
How many pennies would be in a tower that is 10 miles
high?
If AABC = ADEC,
B = 48° and E = x + 4
A
B
E
x = [?]
Answer:
x = 44°
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below ÷)
Craig has of collection of 220 marbles. He lets his friend have 14 of his collections and sells 15 of his collection to the novelty store. He takes 15 marbles home to give to his brother. How many marbles remain in Craig's collection?