James borrows $4,200 to pay his college tuition. He signs a 5-year simple interest loan. If the monthly payments are $78.40, what is the interest rate on the loan?
Answer:
2.4%
Step-by-step explanation:
Total amount of payments:
5 years * 12 months/year * $78.40/month =
= $4704.00
Amount of interest paid in 5 years:
$4704 - $4200 = $504
Amount of interest paid in 1 year:
$504/5 = $100.80
Annual percent rate of interest:
$100.80/$4200 * 100% = 2.4%
Answer: 2.4%
which one of these is a rational number
A. square root of 9/2
B. square root of 13/16
C. square root of 34
D. square root of 49
what is 110 is 350 what is the percent
Answer:
31.43
Step-by-step explanation:
Answer:
31.43%
Step-by-step explanation:
can someone help me with this
Answer:
30
Step-by-step explanation:
3 + (6 * 4) + 3 = 30
hope this helps
PLS ITS A TEST ILL GIVE BRAINLIEST the equation is y = -3x + 2
y=x-6
2 - 20
16) Solve the problem.
Use the Associative Property of Addition to find the equivalent expression. Replace the
variable with the given number to prove the expression is equivalent.
* + (4 + 6) = ---
I = 5
Answer:
The answer is 15=15
Step-by-step explanation:
go to math
way, which is a website
and put your question in and the answer waill come to you!
An evergreen tree is supported by a wire extending from 1.5 feet below the top of the tree to a stake in the ground. The wire is 24 feet long and forms a 58° angle with the ground. how tall is the tree?
Answer:
Approximately [tex]21.9\; \rm ft[/tex] (assumption: this tree is perpendicular to the ground.)
Step-by-step explanation:
Refer to the diagram attached (not drawn to scale.)
Label the following points:
[tex]\rm S[/tex]: stake in the ground.[tex]\rm A[/tex]: top of the tree.[tex]\rm B[/tex]: point where the wire is connected to the tree. [tex]\rm C[/tex]: point where the tree meets the ground.Segment [tex]\rm SB[/tex] would then denote the wire between the tree and the stake. The question states that the length of this segment would be [tex]24\; \rm ft[/tex]. Segment [tex]\rm AB[/tex] would represent the [tex]1.5\; \rm ft[/tex] between the top of this tree and the point where the wire was connected to the tree.
The question is asking for the height of this tree. That would correspond to the length of segment [tex]\rm AC[/tex].
If this tree is perpendicular to the ground, then [tex]\rm \angle A\hat{C}S =90^\circ[/tex]. Triangle [tex]\rm \triangle BCS[/tex] would be a right triangle with segment [tex]\rm SB[/tex] as the hypotenuse.
The question states that the angle between the wire (segment [tex]\rm SB[/tex]) and the ground (line [tex]\rm SC[/tex]) is [tex]58^\circ[/tex]. Therefore, [tex]\rm \angle A\hat{S}C = 58^\circ[/tex].
Notice, that in right triangle [tex]\rm \triangle BCS[/tex], segment [tex]\rm BC[/tex] is the side opposite to the angle [tex]\rm \angle B\hat{S}C = 58^\circ[/tex]. Therefore, the length of segment [tex]\rm BC\![/tex] could be found from the length of the hypotenuse (segment [tex]\rm SB[/tex]) and the cosine of angle [tex]\rm \angle B\hat{S}C = 58^\circ\![/tex].
[tex]\displaystyle \cos\left(\rm \angle B\hat{S}C\right) = \frac{\text{length of $\mathrm{BC}$}}{\text{length of $\mathrm{SB}$}} \quad \genfrac{}{}{0em}{}{\leftarrow\text{opposite}}{\leftarrow \text{hypotenuse}}[/tex].
Rearrange to obtain:
[tex]\begin{aligned}& \text{length of $\mathrm{BC}$} \\ &= (\text{length of $\mathrm{SB}$}) \cdot \cos\left(\angle \mathrm{B\hat{S}C}\right)\\ &= \left(24\; \rm ft\right) \cdot \cos\left(58^\circ\right) \approx 20.35\; \rm ft\end{aligned}[/tex].
In other words, the wire is connected to the tree at approximately [tex]20.3\; \rm ft[/tex] above the ground.
Combine that with the length of segment [tex]\rm AB[/tex] to find the height of the entire tree:
[tex]\begin{aligned}&\text{height of the tree} \\ &= \text{length of $\mathrm{AC}$} \\ &= \text{length of $\mathrm{AB}$} + \text{length of $\mathrm{BC}$}\\ &\approx 20.35\; \rm ft + 1.5\; \rm ft \\ &\approx 21.9\; \rm ft\end{aligned}[/tex].
Which iWhich expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 + 4x 2x – 10 + 5x + 4s equivalent to One-fourth x? StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction x StartFraction 1 over 8 EndFraction x + StartFraction 1 over 8 EndFraction StartFraction 1 over 8 EndFraction + StartFraction 1 over 8 EndFraction One-half x + one-half x
Answer:
A
Step-by-step explanation:
Round 48.47 to the ones place
Answer:
48.7 I think
Step-by-step explanation:
hears the sender buddy
Answer:
48.5 the 7 is close to 10 so it rounds the 4 to 5
Please Help Fast I Don't Know
Answer:
376 people
Step-by-step explanation:
25% is 94
to get the there 75% divide 94 by 25% or .25 and you get 376. 25% of that is 94.
Alright i believe the answer is 376, to find the answer we need to find the percent of 1/4 and it is 25% so now i must find how many 25's can fit into the 100% or the whole, in this case 4 can fit into it so now i must multiply 94 * 4 = 376
so i think that is the answer is 376...
I hope this helps!
Can someone help with this please?
Answer:
n=11
Step-by-step explanation:
By inspection,we see that an output is obtained by subtracting 3 from an input and the next consecutive output will follow a pattern of a difference of odd numbers that is 9+5=14
so n=14 and 14-3=11
The length of a rectangle is 4 more than twice the width length. The perimeter is 28. What is the LENGTH?
Answer:
10[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Let the width length be x.
Width length = x
Length = 2x + 4
Perimeter = width + length + width + length
= x + 2x + 4 + x + 2x + 4
= 6x + 8
6x + 8 = 28
6x = 28 - 8
= 20
x = 20 ÷ 6
x = 3[tex]\frac{1}{3}[/tex]
Length (2x + 4) = 2(3[tex]\frac{1}{3}[/tex]) + 4
= 6[tex]\frac{2}{3}[/tex] + 4
= 10[tex]\frac{2}{3}[/tex]
Mike and Joe each receive money for their lunch. Mike receives $100 and spends $3 each day on his lunch. Joe receives $20 and then an additional $5 each day. Joe saves his
money and does not buy lunch. How many days will it take for Mike and Joe to have the same amount of money?
Answer:
10 days
Step-by-step explanation:
Write an equation where both sides equal the same thing, using x as the variable for the amount of days
100-3x=20+5x
100-20=3x+5x
80=8x
x=10
There are 32 desks in a room,
If x represents the number of rows of desks, which expression would equal the number of desks in each row?
32 x
32-x.
32 +x
32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
Given that, there are 32 desks in a room.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Now, x represents the number of rows of desks.
The number of desks in each row = Total number of desks in a room / The number of rows of desks
= 32/x
The expression would equal the number of desks in each row is 32/x. Therefore, option D is the correct answer.
To learn more about an expression visit:
https://brainly.com/question/13947055.
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What is the answer I need help pls
Answer:
The answers are,
-3, -7
-2, 4
0, 2
2, 8
3, 11
Step-by-step explanation:
You just plug in the domain values into the equation and solve for f(x), so your domain number is your x value and the y value(f(x) value) is the answer
what percent of 18 is 24? Side info: the answer is not 75% or 133%!!!
Answer:
133 1/3 %
Step-by-step explanation:
24/18 = 4/3
4/3 * 100 = 133 1/3 %
Missed that 1/3
Answer:
133.33%Step-by-step explanation:
24 is x% of 18, solving for x:
x = 24/18*100% = 133.33%2/3y + 1 =1/6y + 8
y = ?
Answer:
21
Step-by-step explanation:
solved it
Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant. Annual gross income in relation to number of years.
a. Independent Variable: time, dependent variable: annual income Graph falls and then steadily rises.
b. Independent Variable: annual income, dependent variable: time Incomes rises steadily then drops off sharply before beginning to rise again.
c. Independent Variable: annual income, dependent variable: time Income remains steady throughout time.
d. Independent Variable: time, Dependent Variable: annual income. Income rises steadily then drops off sharply before beginning to rise again.
Answer:
d number is the correct answer of the question
Answer:
d. Independent Variable: time, Dependent Variable: annual income
Income rises steadily then drops off sharply before beginning to rise again
Step-by-step explanation:
The slope of a line is 2 the y-intercept of the line is - 6 which statement accurately describes how to grab the function
Answer:
Step-by-step explanation:
The slope of the line is 2 and the y-intercept is -6. y-intercept is the point where x is zero. Hence, the point is (0,-6) When we graph a linear function by slope-intercept method, first of all we plot the y-intercept. Hence, first of all we plot the point (0,-6) Now, slope is given by if rise is positive then we move up from the y -intercept and if negative then move down. We keep run always positive and hence we move right from the rise point. rise = 2 run = 1 Rise is positive hence, we move 2 units up from the point (0,-6) and then move 1 unit right to get the next point. Then we draw a line passing through these points. A is the correct option.
Use the following function rule to find f(-7).
f(x) = 9x - 7
O 70
O-56
0 -70
56
SMART PPL PLEASE help meeeeeeeeeeeeeee
Answer:
the amount of calories depends on the minutes of exercise so c is the dependent variable and m is the independent variable
Helpppppppppppppppppppppp ASAP
9514 1404 393
Answer:
B. G(x) = (x -0.5)³ -(x -0.5)
Step-by-step explanation:
The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...
G(x) = ((x +1) -1.5)³ -((x +1) -1.5)
G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B
A house has decreased in value by 38% since it was purchased. If the current value is $155,000, what was the value when it was purchased?
Is that the right question?
which number line correctly graphs the numbers in the list?
Answer:
the first option
Step-by-step explanation:
What does the arrow represent?
Bouncing a Ball Height ha 0 Time
a. the ball is hitting the ground for the first time
b. the ball has hit the ground for the third time and is rising
c. the ball has reaches the maximum height of the first bounce
d. the ball has been thrown and is traveling towards the ground
Answer:
b number is the correct answer of the question
Answer:its a
a
Step-by-step explanation:
Jessica, Becky, Leah, and Heidi go to the movies. if the girls randomly sit next to one another, what is the probability that becky and leah will sit next to each other? how many total outcomes are there for the seating arrangements? what is the probability of the girls randomly sit that becky and leah will sit together? what is the probability that becky and leah will not sit together? 100 points will be given!
Answer:
24 total arrangements,
Step-by-step explanation:
thats all i know for this question, the rest are lost within my brain... somewhere
ewkrfmwekosdfgseargfaerfgaerfmwoegm :
Answer:
Ok thats really cool thanks :)
Is 0,4,8,12 an arithmetic sequence?
Use variables to write an equation that represents the relationships between the time x and the distance y.
An eagle flies 40 miles per hour.
An equation that represents the relationships is y = ?
An equation that represents the relationships between the time x and the distance y is y = 40x.
What is linear equation?Equations whose variables have a power of one are called linear equations. One example with one variable is where ax+b = 0, where a and b are real values and x is the variable.
Given:
An eagle flies 40 miles per hour.
An equation that represents the relationships between the time x and the distance y:
Here, x and y are the variables.
So, the equation,
y = 40x.
Therefore, y = 40x is the required equation.
To learn more about the linear equation;
https://brainly.com/question/29739212
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If the interest of sum of money is 6 yrs in 3/8 of the principal . what is the rate of interest?
Answer :
R = 6.25%
Solution,
Let P is the principal. It means interest will be :
I=3/8 P
The formula for the interest is given by :
[tex]I=\dfrac{PRT}{100}\\\\\dfrac{3}{8}P=\dfrac{PR\times 6}{100}\\\\\dfrac{3}{8}=\dfrac{6R}{100}\\\\R=\dfrac{300}{8\times 6}\\\\=6.25\%[/tex]
Hence, the rate of interest is 6.25%.