Answer: 8.5%
Step-by-step explanation:
Formula : Simple interest = (Principal) x (annual interest rate) x (Time) (i)
Given: Principal : P = $ 17,500
Time : 2 years
Simple interest : I = $ 2975
Let r = annual
[tex]2975=17500\times(r)\times(2)[/tex]
[tex]\Rightarrow\ r=\dfrac{2975}{17500\times2}\\\\\Rightarrow\ r=0.085\\\\\Rightarrow\ r=0.085\times100\\\\\Rightarrow\ r=8.5\%[/tex]
Hence, The annual interest rate was 8.5%.
The vertices of are F(2,1), G(4,1), and H(4,-1). The vertices of the image of the triangle after a dilation centered at (0,0) are F'(4,2), G'(8,2), and H'(8,-2). What is the scale factor of the dilation?
Answer:
The scale factor of the dilation is 2
Step-by-step explanation:
The given vertices the ΔFGH are;
F(2, 1), G(4, 1), and H(4, -1)
The lengths of the sides of the triangle ΔFGH are;
The length of segment FG = √((4 - 2)² + (1 - 1)²) = 2
The length of segment FH = √((4 - 2)² + ((-1) - 1)²) = 2·√2
The length of segment GH = √((4 - 4)² + ((-1) - 1)²) = 2
After a dilation with the center of dilation = (0, 0), to give the ΔF'G'H', we have;
The given vertices the ΔF'G'H' are F'(4, 2), G'(8, 2), H'(8, -2)
The length of segment F'G' = √((8 - 4)² + (2 - 2)²) = 4
The length of segment F'H' = √((8 - 4)² + ((-2) - 2)²) = 4·√2
The length of segment G'H' = √((8 - 8)² + ((-2) - 2)²) = 4
The length of the sides of ΔFGH = 1/2 × The length of the sides of ΔF'G'H' or the length of the sides of ΔF'G'H' = 2 × The length of the sides of ΔFGH
Therefore, the scale factor of the dilation is 2.
Can someone help plz
Answer:
84g
Step-by-step explanation:
399÷19=21
21 x 4 = 84
Evaluate the question and simplify
The answer is 11.
Step-by-step explanation:
19-25\19-15
44/4= 11
A truck driver earns $21.00 per hour for the first 40 hours worked in one week. The driver earns time-and-a-half, or $31.50, for each hour worked in excess of 40. The piece-wise function below represents the driver wage, w(h), as a function of the hours worked in one week, h. How much money does the truck driver earn in a week if he works 30 hours? *
Answer:
$21 x 30 = 630 (630 the answer)
Step-by-step explanation:
Bus 26 takes 2 3/4 hours to complete its bus route. How many times can Bus 26 complete its route in 16 hours?
Answer:
i dont understand the question
Step-by-step explanation:
Simplify: 3m + 7 + 2m
Helppp I’ll mark you as brainlister you
Answer:
[tex]\triangle KLM \sim \triangle GFH[/tex]
Step-by-step explanation:
In similar triangles, the corresponding angles must be congruent. We see from the diagram that [tex]\angle K \cong \angle G[/tex], [tex]\angle L \cong \angle F[/tex], and [tex]\angle M \cong \angle H[/tex]. Therefore, [tex]\triangle KLM \sim \triangle GFH[/tex].
HELP! i'll give brainliest just please help me ;(
10 POINTS!!!! for the most meaningful message along with a Brainliest
Answer:
If you always give without thinking of receiving something, you will get more than you need later.
-lorraine9fig
Step-by-step explanation:
Yes. I used my own quote.
"Challenges are what make life interesting and overcoming them is what makes life interesting"
-Joshua J. Marine
"Don’t Let Yesterday Take Up Too Much Of Today."
-Will Rogers
“You Learn More From Failure Than From Success. Don’t Let It Stop You. Failure Builds Character.”
– Unknown
“It’s Not Whether You Get Knocked Down, It’s Whether You Get Up.”
–Vince Lombardi
“Failure Will Never Overtake Me If My Determination To Succeed Is Strong Enough.”
– Og Mandino
“We May Encounter Many Defeats But We Must Not Be Defeated.”
– Maya Angelou
“The Only Limit To Our Realization Of Tomorrow Will Be Our Doubts Of Today.”
– Franklin D. Roosevelt
A spice merchant divided 9/10 of a pound of ground cinnamon into 3 equal packages. She then sold the ground cinnamon to restaurants and bakeries. What was the weight of ground cinnamon in each package?
Answer:the answer is 0.3
Step-by-step explanation:
Points (-2, 4) and (-1, 1) lie on the same line. Which of the following equations represents the line
Answer:
y = -3x - 2
Step-by-step explanation:
Given the coordinates (-2, 4) and (-1, 1), we are to find the equation of a line passing through the points.
The standard form of the equation is expressed as;
y = mx+c
m is the slope
m = y2-y1/x2-x1
m = 1-4/-1+2
m = -3/1
m = -3
get the y-intercept c;
Substitute m = -3 and any point say (-1,1) into the equation y = mx+c
1 = -3(-1) + c
1 = 3 + c
c = 1-3
c = -2
Get the required equation;
y = mx+c
y = -3x + (-2)
y = -3x - 2
HELP PLZ THIS I NEED TO KNOW THIS
convert
27/8
41/18
41/15
and 29/12
into Mixed numbers show steps please
Answer:
Ok
Step-by-step explanation:
27/8 = 3 3/8
41/18 = 2 5/18
41/15 = 2 11/15
29/12 = 2 1/3
factor 1/6 out of 1/6x+1/6
Answer:
1/6(1x+1)
Step-by-step explanation:
Which expression is equivalent to
8(3x+4w)
Answer:
24x+32w
Step-by-step explanation:
Plz help Me on this question
Answer:
what is it
Step-by-step explanation:
Answer:
Naruto
Step-by-step explanation:
Uzmaki
20 POINTS TO FIRST CORRECT ANSWER! Sorry for the bad quality!!
Answer:2=42 3=82 4=122
Step-by-step explanation:
If there is already 2, all you have to do is take away 2 from 162 and then divide by the empty spaces (in this case 4) 160/4 = 40.
Solve the following proportion for U.
17/13 = u/6
Round your answer to the nearest tenth.
(I have no idea if you would actually have to round)
Slope From Graph.. Help
slope is 3
Step-by-step explanation:
y2-y1/x2-x1
so 3-0/-1--2 or 3-0/-1+2
What is the lcm of 11 and 14
Answer:
154
Step-by-step explanation:
When you’re multiplying or dividing same sign numbers, what will your product or quotient be?
When you multiply two integers with the same signs, the result is always positive. Just multiply the absolute values and make the answer positive. When you multiply two integers with different signs, the result is always negative.
y = - x + 7 on a graph
Answer:
(See the attachment)
Step-by-step explanation:
None
What is the remainder when
f(x) = 2x4 + x2 – 8x – 1 is divided
by x - 6?
Answer:
Step-by-step explanation:
x - 6 = 0
x = 6
f(x) = 2x⁴ + x² - 8x - 1
=2(6)⁴+ 6² - 8*6 - 1
= 2*1296 + 36 - 48 - 1
= 2592 + 36 - 48 - 1
= 2628 - 49
= 2579
Help please I would really appreciate it
Answer:
5°
Step-by-step explanation:
4x+81=13x+36
answer is 5°
Identify the two factors that were multiplied together to form the array of tiles. Then identify the product of the two factors. Use the variable x in your expressions.
Answer:
[tex]Terms: 3\ and\ x + 2[/tex]
[tex]Product = 3x + 6[/tex]
Step-by-step explanation:
See attachment for complete question.
From the attachment, there are 3 columns and 3 rows
The 3 columns represent the first factor
To get the second factor, we have to analyze the 3 rows in the attachment.
Notice that the first row is bigger than the other two rows.
This big row will be represented with variable x
Notice that the boxes in second row are smaller than the first row and the + sign is written on each of the boxes.
This is represented with + 1
Also, notice that the boxes in third row are smaller than the first row and the + sign is written on each of the boxes.
This is also represented with + 1
Hence, the expression for the rows is x + 1 + 1 = x + 2
The product is then calculated as:
[tex]Product = 3 * (x + 2)[/tex]
[tex]Product = 3 * x + 3*2[/tex]
[tex]Product = 3x + 6[/tex]
Skye ran rlaps today at soccer practice. Nadine ran five fewer laps than Skye. If Nadine ran eight laps at practice, which of the following equations could be used to find how many laps Skye ran?
r-5= 8
r+5 = 8
r=8-5
-5r=8
Answer:
A. r - 5 = 8
Step-by-step explanation:
If Nadine ran 5 fewer laps than Skye, and Nadine ran eight laps, "r" equals 13.1.) What is the maximum number of zeros for the following function
f(x) = x - 2x2 - 11x + 12
Answer:
-14x+12
Step-by-step explanation
f(x)=-14
Find 12.43 more than 4.065.
Answer:
16.495
Step-by-step explanation:
plz mark B R A I N L I E S T
Answer:
16.405
Step-by-step explanation:
since you need to find more add 12.34 + 4.065= 16.405
C
L 6.1.3 Quiz: Exponents
Question 4 of 10
Which of the following is equal to divide 9•4
Answer:
36 ÷ 9= 4
Step-by-step explanation:
9 x 4= 36
The division equation for this is 36 ÷ 9= 4
The product of the expression 9 and 4 is 36.
What is Multiplication?Multiplication of two numbers is defined as the addition of one of the number repeatedly until the times of the other number.
a × b means that a is added to itself b times or b is added to itself a times.
Give that we have to multiply 9 with 4.
This means that 9 has to be added repeatedly up to 4 times or 4 has to be added repeatedly up to 9 times.
In both cases, the product must be the same.
9 multiplied by 4 = 9 + 9 + 9 + 9
Which is also equal to,
4 + 4 + 4 + 4 + 4 + 4 + 4 + 4 + 4
= 36
Hence the product is 36.
Learn more about Multiplication here :
https://brainly.com/question/19943359
#SPJ7
A file that is 261 megabytes is being downloaded. If the download is 18.7% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth
Answer:
48.8
Step-by-step explanation: