Answer: $2400
Step-by-step explanation:
Given
Interest earned is $450
The rate of interest is R=7.5%
Time period T=2.5 years
Simple Interest is given by
[tex]S.I.=\dfrac{P\times R\timesT}{100}\quad [\text{P=Principal}][/tex]
Substitute values
[tex]450=\dfrac{P\times 7.5\times2.5}{100}\\\\P=\dfrac{450\times 100}{7.5\times 2.5}=\$2400[/tex]
If 1 cm represents 5m, what is the scale drawing length of 18m?
Answer:
3.6 cm
Step-by-step explanation:
5 divided by 18 is 3.6. so its 3.6
What is the slope of a line perpendicular to the line whose equation is x + 3y = -12
Answer:
5
Step-by-step explanation:
,
The outcome of the first event does affect the outcome of the second, so that the probability is changed
Answer:
Dependent Events
Step-by-step explanation:
Suppose we have 3 balls 1,2,3 and we have to find the probability of choosing one ball.
If the first ball is chosen the probability will 1/3 leaving behind 2 balls in the bag. If the first ball is not replaced and we have to choose again the probability of choosing the second or third ball would be 1/2 which is changed from the original probability of choosing 1 ball out of 3. In this the outcome of the first event does affect the outcome of the second, so that the probability is changed. This is when choosing is done without replacement.
In this the events are called dependent events.
Consider this scenario again and suppose we replace the first ball after it is chosen back into the bag. Then again we choose another ball . And the probability of choosing the second ball after replacement remains the same as choosing the first ball. In this he outcome of the first event does not affect the outcome of the second, so that the probability remain the same. This is done by replacement.In this the events are independent.
please answer asap!!
The vertex of a parabola is (-2, -20), and its y-intercept is (0, -12).
The equation of the parabola is y= (blank)x^2 + (blank)x + (blank)
Answer:
-5
Step-by-step explanation:
A triangle has sides with lengths of 12 yards, 17 yards, and 20 yards. Is it a right triangle?
Answer:
190.9
Step-by-step explanation:
The mean of a set of numbers is 8, and the mode is 9.
Which of the following sets of numbers do these values describe?
3, 7, 9, 9, 10, 14
1, 5, 8, 10, 11, 13
4, 6, 8, 9, 9, 12
3, 5, 7, 9, 12, 12
Answer:
C
Step-by-step explanation:
Ummmm so I tried to figure it out but I’m really confused pls help
Answer:
The price of one ticket is $76.
Step-by-step explanation:
5% of $330 is $16.50 and 45% of $330 is $148.50. Add those two together and then add $13 to it. You should get 178 and subtract it from 330 which leads you to 152. It asks for the price of one ticket, so you divide that by 2 which results to $76.
Which of the following is a proportion?
Answer:
the second one
Step-by-step explanation:
could i get some helpp with oneee
Answer:
3d one
Step-by-step explanation:
Solve the equation 2.2x=3
Answer : The answer is 15/11 but you can simply this fraction which makes it to a decimal which would be 1.36 ( 36 is repeating )
A: {-6, -3, 0, 3, 6}
B: {-5, -3, -1, 1, 2}
C: {-6, -5, -3, -1, 0, 3, 6}
D: {-6, 6}
Step-by-step explanation:
You need to find the function
plz plz help its shapes!!!! ill give u brainy !!!!!!
Answer:
Names that describe the shape- Trapezoid, Quadrilateral
Names that don't describe the shape- Square, Rectangle, Parallelogram and rhombus
Step-by-step explanation:
Quadrilateral A B C D is the image of a quadrilateral ABCD under a rotation about point P
Determine the angle of the rotation
-105
-75
75
105
Answer:
D. 105°Step-by-step explanation:
If we connect points C and C' with the center of rotation P, the angle CPC' appears greater than 90°, so the angle could be 105° or - 105°
Since the rotation is counterclockwise the angle of rotation is deemed as positive.
Correct choice is D.
If an item is discounted by 5 percent, and the final price is 57, what is the original price of the item?
Answer:
$59. 85 or rounding, $60 (I AM NOT COMPLETELY SURE)
Step-by-step explanation
I changed the percentage into a decimal (.05) and then multiplied it by the final price (57). After multiplying, I got, $2.85. I then added that to the final price to get, $59.85.
Can u pls help me with this question
Answer:
80
Step-by-step explanation:
14 × 20 = 280
1400 - 280 = 1120
1120 ÷ 14 = 80
The radius of a circle is 3 yards. What is the circle's area?
r=3 yd
)) Use 3.14 for a.
What is the equation used to find the nth term of the arithmetic sequence:
-8, -5 -2, 1, 4
Answer:
aₙ = 3n - 11Step-by-step explanation:
The equation of the nth term of the arithmetic sequence is: [tex]a_n =a_1+d(n-1)[/tex]
d = -5 - (-8) = - 5 + 8 = 3
a₁ = -8
Therefore:
[tex]a_n =-8+3(n-1)\\\\a_n =-8+3n-3\\\\a_n =3n-11[/tex]
What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a
cubic meter?
Answer:
2145.5m^3
Step-by-step explanation:
volume of a sphere= 4/3 pi r^34/3×22/7×8×8×82145.52since the hundredths value is less than 5 the answer remains the same hence answer 2145.5m^314 more to go please help
Answer:
B) 31.25%
Step-by-step explanation:
ASAP!!! PLEASE HELP ILL GIVE U BRAINEST!
Find the LENGTH of Arc AB.
HERE I FOUND IT
Find the LENGTH of Arc AB.
What is the graph of one cycle of a sine curve with amplitude 5, period pi, and a>0?
What is an equation for the sine curve in the form y=asinb0?
a. y=2sin50
b. y=5sinpi0
c. y=5sin20
d. y=5sin1/2 0
Answer:
c is correct
Step-by-step explanation:
if u have the equation y = a sin b (x),
a is the amplitue (regardless of + or - before it) and 2pi / b = period. so we can deduce that a = +5 or -5 and b = 2, but then it says a>0, so therefore a must be 5 and b is still 2, so the equation is y= 5 sin2(O)
The compound interest on a sum of money in 2 yes and 4 yrs are 5460 and 12060.6 then find principle
Answer:
2471.81
Step-by-step explanation:
Let I be the interest, r the annual rate and P the principal. Then:
I = P(r)^2 = 5460
I = P(r)^4 = 12060.6
so r^2 = P(r)^4 / P(r)^2 = 12060.6/5460
r^2 = 2.2089
r = 1.486
So P(r)^2 = P* 2.2089 = 5460
P = 5460 / 2.2089 = 2471.81.
❗❗❗PLS I NEED HELP ON THIS I DON'T UNDERSTAND PLS HELP❗❗❗❗❗❗
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Answer:
3) H' = (-5,-4) I' = (-2,2) J' = (-2,-4)
4) K' = (-8,-3) L' = (-8,-8) M' = (-6,-8)
5) N' = (2,1) O' = (1,6) P' = (-2,3)
6) Q' = (0,3) R' = (-1,-2) S' = (3,1)
Step-by-step explanation:
All you have to do is exactly what the directions tell you to do. First, plot the original image of the triangle (The letters without the apostrophe (') behind it), and then recreate it on the opposite side of whatever axis it tells you to. The x-axis is the horizontal line, and the y-axis is the vertical line.
When you're doing this, think of it as a mirror. The mirror is whatever line it tells you to reflect the image across. The final product will be the exact same image, but reversed to the opposite of the axis chosen.
Let me know below in a comment if something confused you in my explanation, I'll try my best to re-word it better so you can understand :)
The equation 150s + 45h = 1,155 is used to determine the number of skateboards s and the number of helmets h that can be bought for $1,155. You purchase 5 skateboards. Select all the steps that may be used when solving for the number of helmets purchased.
A. Multiply both sides by 45.
B. Add 150s to both sides.
C. Subtract 150s from both sides.
D. Substitute 5 for s in the equation.
E. Divide both sides by 45.
Answer:
D & E
Step-by-step explanation:
150(5)+45h=1155 D
750+45h=1155
45h=405
h=9 E
For exercise, Francesca walks laps around a track. She walked 1 lap around the track in 4 minutes. If each lap is 440 yards, how fast did Francesca walk?
A.
125 yards per minute
B.
110 yards per minute
C.
400 yards per minute
D.
44 yards per minute
Answer: B
Step-by-step explanation: You divide 440 and 4
Answer:
B. 110 yards per minute
Step-by-step explanation:
This is because 110 x 4 is 440 or 110 +110 +100 +110 = 440
Find the measure of angle 5, if m<2 is 120°
Answer:
m< 5 = 30°Step-by-step explanation:
I hope that is useful for you :)
Andy constructed a triangle. Angle 1 and 2 are the same size and angle 3 has a measurement of 100 degrees. What is the measurement of angle 1 and angle 2?
a , 30
b 40
c 60
d 90
Answer:
Angle 1: 40
Angle 2: 40
Step-by-step explanation:
A triangle's angles will ALWAYS add up to 180 degrees total, therefore you can subtract 100 from 180 to find what the measure of A and B are combined.
180 - 100 = 80
So now we know Angles A and B add to 80 degrees, but individually, each is half of that, so both are 40 degrees.
pls help me its pls——
Answer:
Sorry but I love you
Step-by-step explanation:
Please help, I have no idea what is happening!!!
Perform the indicated operation.
Answer:
Yay
Step-by-step explanation:
I get points :3
Answer is 3/4 (I TOOOTALLY did this by myself)
Michael owns a small business selling clothing. He knows that in the last week 39 customers paid cash, 30 customers used a debit card, and 2 customers used a credit card. Based on these results, express the probability that the next customer will pay with a credit card as a decimal to the nearest hundredth.
Answer:
0.03
Step-by-step explanation:
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