You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
What is Simple Interest ?
Simple interest can be defined as the ratio of product of principal amount , rate , time and hundred.
The interest on your loan can be calculated using the formula:
Interest = Principal x Rate x Time
In this case, the principal is $400, the rate is 8% (or 0.08 as a decimal), and the time is 2 years.
So, plugging in the numbers:
Interest = $400 x 0.08 x 2 = $64
Therefore, the total amount you will have to pay back is the sum of the principal and the interest, which is:
Total = Principal + Interest
= $400 + $64 = $464
Hence, You will have to pay back a total of $464 over the course of the two-year loan, which includes the $400 principal plus $64 in interest.
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what is the answer for x
Answer:
x = 8.5
Step-by-step explanation:
I got this answer by assuming the triangles were congurent, if they are not, the answer may vary.
first, make an equation:
x + 8 = 3x - 9
bring 3x to the other side, by subtracting it
-2x + 8 = -9
Subtract 8
-2x = -17
divide by -2
x = 8.5
Then, just sub x into the formulas
A zoo collected data on the diving times of turtles. Based on the data, the regression line is j = 0.010 + 2.515x, where x is the time of the dive, in minutes. Based on the regression equation, what is the predicted dive depth in meters at 150 seconds? Give your answer to three decimal places. meter(s)
Answer:
6.298 meters
Step-by-step explanation:
Here, we are told that x is the time of the dive in minutes.
We simply first need to convert 150 seconds to minutes before substitution into the regression formula;
Kindly recall that 60 seconds = 1 minute
So 150 seconds will be 150/60 = 2.5 minutes
We now proceed to substitute into;
j = 0.010 + 2.515(x)
i = 0.010 + 2.515(2.5)
j = 0.010 + 6.2875
j = 6.2975 which go 3 decimal places is 6.298 meters
Using the regression model given, substitution the value of x = 2.5 minutes into the equation, the dive depth obtained ls 6.2975 meters.
Given the regression model :
y = 0.010 + 2.515xx = time of the dive ; y = dive depthConverting, x to minutes :
150 seconds = (150 ÷ 60) = 2.5 minutes
The dive depth, y after 150 seconds, can be obtained by substituting the value x = 2.5 into the equation :
y = 0.010 + 2.515(2.5)
y = 0.010 + 6.2875
y = 6.2975
There, the dive depth after 150 seconds will be 6.2975 meters
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BRAINLIEST ANSWER!! please help
Select all of the transformations that always maintain a shape's congruency.
A) A reflection
B) Adilation
C) A reflection and then a dilation
D) A rotation then a translation
E) A translation then a reflection
A room has a length of 7 m.
A scale diagram is drawn of the room.
In the diagram, the room has a length of 1 cm.
What is the scale of the diagram?
Give your answer as a ratio in the form 1 : k, where k is an integer.
Answer:
Step-by-step explanation:
A ratio is used in scale drawings of maps and buildings.
That is:
The scale of a drawing = Drawing Length : Actual Length
A scale is usually expressed in one of two ways:
-using units as in 1 cm to 1 km
-without explicitly mentioning units as in 1 : 100,000.
A scale of 1 : 100,000 means that the real distance is 100,000 times the length of 1 unit on the map or drawing.
In your case, where the room has a length of 7m and 1cm on the diagram:
1 cm to 7m = 1cm : 7m
= 1cm : 700cm
= 1 : 700
3x + 2y + 4 ; x= 2 and y=3 |
Answer:
if x=2 and y=3 then
3x+2y+4 ---> 3(2)+2(3)+4
3(2)+2(3)+4
6+6+4
6+10
16
Picture attached !!!
Answer:
D.
Step-by-step explanation:
Since they are both the same angle measures, they are congruent, and also corresponding since they are located on the same side and half of the different lines.
log10^125+log10^8 explain it plZ
Answer:
this
Step-by-step explanation:
BRAINIEST IF ANSWERED !!If m
Answer:
u didnt put questions
Step-by-step explanation:
Gregoria borrowed $2,450, to be paid back at 3.5% simple interest. She spent $3221.75 in all to repay the loan. How many years did Georgia take to repay the loan?
Answer: 9 years
Step-by-step explanation:
Simple interest = PRT/100
where
P = principal = $2450
R = rate = 3.5%
T = time = unknown
Interest = $3221.75 - $2450 = $771.75
Simple interest = PRT/100
$771.5 = ($2450 × 3.5 × T)/100
$771.5 = $8575T/100
8575T = 771.5 × 100
8575T = 77150
T = 77150/8575
Time = 8.99 years = 9 years
I need help pls if u are good at math stuff
(-2.2) · (-2) · (–1) · (5) = ?
1. 88
2. 5 1/2
3. -88
4. -5 1/2
Answer:
My answer came out to -22.
Step-by-step explanation:
Start multiplying from left to right:
Two negatives multiplied are positive:
-2.2·(-2)=4.4
A negative and a positive multiplied equal a negative:
4.4·(-1)=-4.4
-4.4·5=-22
9. Subtract: 5 - 3 1/3
A. 1 2/3
B. 2 2/3
C. 3 1/3
D. 2 1/3
Answer:
b is the right answer
Step-by-step explanation:
plz can u follow and make brainliest answer and like and thx to u
Answer:
A. 1 2/3
Step-by-step explanation:
I thought of it backwards and did 1 and 2/3 + 3 and 1/3 = 4 and 3/3
and that turns into 5
Megan expects to save an average of 5 dollars per week from her babysitting earnings. The relationship between time and the amount of money she saves is shown on the graph. Which other ordered pairs would fall on this line? Select all that apply.
(0.5, 2.5)
(3, 18)
(0, 0)
(4.5, 30)
Answer:(0.5,2.5) (0,0)
Step-by-step explanation:
Answer:
A & C
aka: (0.5, 2.5) & (0, 0)
Step-by-step explanation:
Took the question on edge and got it correct.
Hope it helps (^-^)
Help please!!! 20 points
Answer:
I have no idea sorry
Step-by-step explanation:
i dont understand the question
Answer:
2 <= to x <= 5
Step-by-step explanation:
/////////////
please let me know !
Step-by-step explanation:
Slope = y2 - y1
x2 - x1
So, 4 - 0
8 - 6
= 4
2
Slope = 2
y - 4 = 2(x - 8)
y - 4 = 2x - 16
y = 2x - 12
y-intercept:
y = 2(0) -12
y = -12
x-intercept:
(0) = 2x - 12
12 = 2x
12/2 = x
6 = x
Domain: {0, 2, 4, 6, 8}
Range: {-12, -8, -4, 0, 4}
Hope this helps!
Good luck!
You have a 18.96 cubic centimeter gourd that has a density of 2.23 g/ml, what is the mass of the gourd?
Sione just landed a great job as an engineer where he will make $55,000 a year. The company he will work for guarantees a 3% pay increase each year so it's employees' salaries keep up with inflation. At the end of the 1st year Sione will have made $55,000 dollars. What is the recursive function that will represent this situation?
Answer:
s(x) = 55000*1.03^xStep-by-step explanation:
First year salary
$55000Annual pay rise
3% ⇔ 1.03 timesFunctional relationship
It is going to be an exponential function as every year salary will increase 1.03 times
s(x) = 55000*1.03^x, where s- salary and x- number of employment yearsHelp me ASAP WILL GIVE BRAINLIEST AND 5 STAR RATE (not a real test)
Answer:
y = -2
Step-by-step explanation:
y-intercept is the point of y at which x is zero
so it is (0,-2) when y= -2
Hope it helps!
1. Jonathan bought 10lb of flour at $7.50. He had a store coupon for $0.79. What was the
final price for the flour?
the answer and work
Answer:
6.71
Step-by-step explanation:
The solution should be $6.71 because when you subtract $7.50 and $0.79 you end up with $6.71.
Fun Zone charges an entrance fee
of $4.50 and $0.65 per ticket. Happy
Town charges $0.40 per ticket and a
$5.00 entrance fee. How many
tickets must be purchased in order
for the total to be the same at both
Fun Zone and Happy Town?
Answer:
2 tickets
Step-by-step explanation:
To be the same they must equal each other.
4.50 + 0.65x = 0.40x + 5
isolate the variable
subtract 4.50 from both sides
0.65x = 0.40x + 0.50
subtract 0.40x from both sides
0.25x = 0.50
divide both sides by 0.25
x = 0.50 ÷ 0.25
x = 2
y'all i will love u forever if u answer these questions..it's 20 points for answering.
Tyson and his friends go ice skating. Tyson must pay an initial fee of $18.30 plus $4.80 per hour. Write an equation for the cost (c) Tyson must pay after skating h hours. Solve the equation to find the cost to go ice skating for four hours. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
Cindy is taking her granddaughter to the local pumpkin patch. The pumpkin patch sells pumpkins by the pound. The cost for pumpkins is $0.49 each pound up to 8 pounds. For those pumpkins that weigh more than 8 pounds, the cost is $0.49 each pound for the first 8 pounds and $0.25 per each pound after. If Cindy's granddaughter chooses an 11-pound pumpkin, how much will it cost? Write an equation to find the cost of the pumpkin. Write the answer as an ordered pair and explain the meaning of the ordered pair to this problem. Show all work.
If x to the power of 2= 60, what is the value of x
Answer:
B.
Step-by-step explanation:
If x squared is 60, then you would have to find the root of 60 to find the value of x.
Hope I helped :)
Please consider Brainliest :)
Answer:
I just took the test the answer is B. +or - the square root of 60
Step-by-step explanation:
If AB = 10, and BC = 5, what is the value of CD?
K = 1/5
what is the answer
Answer:
K=1/5 or in decimal form 0.2
Step-by-step explanation:
can someone please give me some good sad music??????
Answer:
hello darkness
Step-by-step explanation:
Answer:
if you are into emo pop punk like me i would suggest the album "Best Buds" by mom jeans.
Step-by-step explanation:
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
Answer:
9.72 seconds
Step-by-step explanation:
9.72 seconds ( approx )
Step-by-step explanation:
Since, the equation that shows the height of the rocket from the ground,
Where,
x = time after launch, in seconds,
When the rocket hits the ground,
y = 0,
i.e.
By the quadratic formula,
∵ Time can not be negative,
So, the time taken to hit the ground = 9.716 seconds ≈ 9.72 seconds.
The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds.
What is a quadratic equation?An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.
As per the given height of tower y in terms of time is seconds x
y = -16x² + 240x + 115
The height of the tower when the rocket hit the ground will be zero.
Thus, y = 0
0 = -16x² + 240x + 115
16x² - 240x - 115=0
By quadratic equation formula,
x = [-(-240) ± √((-240)²+4×16×(-115))]/ 2×16
x = [240 ± 254.8725]/32
x = 15.46 and x = -0.46 since time can be never negative thus 15.46 seconds will be correct.
15.46 to the nearest hundred is 15.
Hence "The time at which the rocket will hit the ground to the nearest hundredth of seconds is 15 seconds".
For more about the quadratic equation,
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Find m<LMN if m<LMT=23 degree and m<TMN=144 degree
Answer:
∠LMN = 167°
Step-by-step explanation:
∠LMT = 23°
∠TMN = 144°
∠LMN = ∠LMT + ∠TMN
∠LMN = 23° + 144°
∠LMN = 167°
Help me please??????
Answer:
Option D, 40
Step-by-step explanation:
90 + 50 = 140
180 - 140 = 40
Answer:
40
Step-by-step explanation:
180-90+50=40
brainliest appreciated
Which of the following variable expressions represents the word phrase
“2 less than p”?
a. 2 – p
b. p + 2
c. p – 2
d. 2 p
