Answer:
3.75%
Step-by-step explanation:
Total interest (4 years) - $3000
Annual interest (1 year) - $3000 ÷ 4 = $750
Annual interest rate (1 year) - [tex]\frac{750}{20 000}[/tex] × 100% = 3.75%
Checking:
Interest after 1 year - [tex]\frac{3.75}{100}[/tex] × $20,000 = $750
Interest after 4 years - $750 × 4 = $3000 (Correct)
Answer:
The interest rate was 3.75%.
Step-by-step explanation:
Attention: I am assuming simple interest here since I am not told otherwise.
Knowing Lebrun's interest was a total of $3000 on the $20000 loan, we can safely assume that it was a $750 interest flat fee paid on top of the loan amount dividing the $3000 by the four years it took for them to return the loan.
Dividing the amount of interest, in dollars, by the total amount of the loan and multiplying by 100, you will get the interest rate on the loan:
[tex]\frac{750}{20000}=\frac{75}{2000}=\frac{15}{400}=\frac{3}{80}\\\\\frac{3}{80}*100=\frac{3}{8}*10=\frac{30}{8}=3\frac{3}{4} =3.75\%[/tex]
Graphic DesignWorks ships the T-shirts it makes in boxes that measure 22 in
x 20 in x 20 in. The company rents a storage space that measures 200 ft x
200 ft x 40 ft. What is the best estimate of the number of boxes Graphic
DesignWorks is able to store?
A. 313,920 boxes
B. 120,000 boxes
C. 207,360 boxes
D. 8800 boxes
Answer:
313,920 boxes
Step-by-step explanation:
that good
The number of boxes Graphic Design Works is able to store is 314182 boxes.
What is the volume?Volume is the measure of the capacity that an object holds.
Formula to find the volume of the object is Volume = Area of a base × Height.
Given that, Graphic Design Works ships the T-shirts it makes in boxes that measure 22 in × 20 in × 20 in.
Here, the volume of box = 22×20×20
= 8800 cubic inches
The company rents a storage space that measures 200 ft × 200 ft × 40 ft
Here, 200 ft = 2400 inches, 40 ft = 480 inches
Volume of a storage space
= 2400×2400×480
= 2764800000 cubic inches
Here, the number boxes = 2764800000/8800
= 314181.8
≈ 314182
Therefore, the number of boxes Graphic Design Works is able to store is 314182 boxes.
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..Urgent.. 600 students attend Ridgewood Junior High School. 10% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?
Answer:
Number of student bring their lunch = 60
Step-by-step explanation:
Given:
Total number of student = 600
Student bring their lunch = 10%
Find:
Number of student bring their lunch
Computation:
Number of student bring their lunch = Total number of student x Student bring their lunch
Number of student bring their lunch = 600 x 10%
Number of student bring their lunch = 60
Given f(x) = 6x – 9, find the value of f(-8).
Answer:
-57
Step-by-step explanation:
f(-8)=6(-8)-9
f(-8)=-48-9
f(-8)=-57
I need help. q – 12 = 1
Answer:
q=13
Step-by-step explanation:
Given q - 12 = 1
we need to find q
to do so we need to isolate the variable using inverse operations
so to get rid of the 12 we add 12 but whatever we do to one side we do to the other
so we add 12 to each side
-12+12 cancels our
1+12=13
we're left with
q=13
Can you please help me :c
Answer:
135 m^3
Step-by-step explanation:
its volume is the area of the base by height;
.
the area of the base is 3 x 5 = 15.
its volume equals 15 x 9 =135 m^3
.
.
The scouts sold small and large boxes of cookies as a fund raiser. One scout sold 7 small boxes and 12 large boxes for $54.00. Another scout sold 5 small boxes and 10 large boxes for $60.00. The scout leader wrote a system of equations to represent the their sales.
7 x + 12 y = 54. 5 x + 10 y = 60.
Which constants can each equation be multiplied by so that one variable is eliminated when the equations are added? Check all that apply.
The first equation can be multiplied by 5 and the second equation by –6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 6 to eliminate the y.
The first equation can be multiplied by –5 and the second equation by 7 to eliminate the x.
The first equation can be multiplied by 5 and the second equation by –7 to eliminate the x.
The first equation can be multiplied by –5 and the second equation by 10 to eliminate the x.
Answer:
1,3,4
Step-by-step explanation:
:)
Answer:
1,2,3,4
Step-by-step explanation:
i am just smart and dont cheat ;)
Could someone please solve?
Answer:
a) y=4
b) x=8
Step-by-step explanation:
we know the a line is on point 4 on the y axis. So it would be y=4
The second one is the same. line b is on the point 8 on the x axis, so x=8
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each exponential equation to its percent rate of change.
40% growth
80% decay
40% decay
20% growth
20% decay
60% growth
60% decay
80% growth
60(0.8)t = 1.4
arrowRight
1.2(1.4)t = 80
arrowRight
40(0.2)t = 1.6
arrowRight
20(0.6)t = 1.2
arrowRight
80(1.6)t = 20
arrowRight
9514 1404 393
Answer:
20% decay40% growth80% decay40% decay60% growthStep-by-step explanation:
The "growth factor" is the number that has an exponent. Subtracting 1 from that gives the growth rate. The growth rate can be expressed as a percentage by multiplying it by 100%. If it is negative, it represents a rate of decay.
For example, the growth factor of 0.8 is a growth rate of 0.8-1 = -0.2 = -20%, a decay of 20%.
__
Here, we'll list the growth factor and the rate of change:
growth factor ⇒ rate of change
0.8 ⇒ 20% decay
1.4 ⇒ 40% growth
0.2 ⇒ 80% decay
0.6 ⇒ 40% decay
1.6 ⇒ 60% growth
A study of U.S. births published on the website Medscape from WebMD reported that the average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds. Assume the distribution is approximately normal. Find the proportion of babies with birth weights of 6 pounds or less. Round your answer to 2 decimal places.
Answer:
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Average birth weight of babies was 7.5 pounds and the standard deviation was about 1.2 pounds.
This means that [tex]\mu = 7.5, \sigma = 1.2[/tex]
Find the proportion of babies with birth weights of 6 pounds or less.
This is the pvalue of Z when X = 6. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{6 - 7.5}{1.2}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056
The proportion of babies with birth weights of 6 pounds or less is 0.1056 = 10.56%.
solve this for me please
Pls help I’ll brainlest and add extra points
Answer:
11) m<8
12) a<-64
13) f<140
14) t> or equal to 150
15) g<-18
16) y< or equal to -16
17) a> or equal to 16
Step-by-step explanation:
hope this helps
help and i'll give you brainliest
Answer:
139°
Step-by-step explanation:
They would both be 139
What is the length, in feet, of the wire?
Can someone help me please
Andrew spends his off days volunteering at a dog kennel. There are 24 dogs at the
kennel. He knows that 5/8 of the dogs are male. How many male dogs are at the kennel?
Answer:
16
Step-by-step explanation:
Number of male dog in Kennel are 15 dogs
Given that;
Total number of dogs = 24 dogs
Ratio of male dog = 5/8
Find:
Number of male dog in Kennel
Computation:
According to the question;
Number of male dog in Kennel = Total number of dogs × Ratio of male dog
Number of male dog in Kennel = 24 × [5/8]
Number of male dog in Kennel = 3 × 5
Number of male dog in Kennel = 15 dogs
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Isabel owns a T-shirt cart and has a contract with a local sports arena to distribute T-
shirts outside the venue. Isabel is paid a flat rate of $235 and a variable rate per T-
shirt. The following table represents the total amount of money Isabel makes. Let X
denote the number of T-shirts that Isabel sells and let y denote the amount of money
that Isabel makes. What is the estimated amount of money that Isabel makes if she
sells six T-shirts?
T-shirts
o
1
2
3
4
Money
$235
$250
$267
$286
$307
Answer:
in just going to say 90
Step-by-step explanation:
tell me if i got it right or wrong no hate
How much times does it take to put 0.3 into 5.7 whoever answers first and the most accurate gets brainliest
Answer:
what is the answer to this
Two optometrists (eye doctors) each compiled data from 10 different random samples. The table contains their respective data sets.
Doctor A Doctor B
Corrective Lenses Glasses Contacts Corrective Lenses Glasses Contacts
745 643 102 763 651 112
726 634 92 736 625 111
769 670 99 735 622 113
765 658 107 759 624 135
756 636 120 748 631 117
742 624 118 756 621 135
757 641 116 765 653 112
748 655 93 761 647 114
770 649 121 768 646 122
738 629 109 761 646 115
Part A
Are there any noticeable outliers in either of the data sets? What does this mean about the best measures to use for center and variability?
Step-by-step explanation:
the answer is 19
Step-by-step explanation:
5.7/0.3=19
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches.
Answer:
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
Step-by-step explanation:
pls complete your question
Find the area of a triangle ABC when m is less than B = 56 degrees, a = 10 inches, and c = 7 inches
The area of triangle is 29.081 inch²
What is area of triangle?Heron's formula was first given by Heron of Alexandria. It is used to find the area of different types of triangles like equilateral, isosceles, and scalene triangles or quadrilaterals. We can use heron's formula to find the area of triangles when the sides of the triangle are given. We use the semi-perimeter of the triangle and the side lengths to find the area of the triangle using heron's formula.
Area of triangle ABC = √s(s-a)(s-b)(s-c),
where s = Perimeter/2 = (a + b + c)/2
Given:
<B= 56, a= 10 inch, b= 6 inch
Now,
b²= 10² +7² -2* 7* 10* cos 56
b² = 100+ 49 -78.187
b²= 70.712
b= 8.41 inch
Now, semi- perimeter= (10+ 8.41+ 7)/2
= 12.705
Using heron's formula
=√s(s-a)(s-b)(s-c)
=√12.705(12.705-10)(12.705-8.41)(12.705-7)
=√842.094
=29.018 inch²
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make a number line and show all values of that x that x < -1 and x > 1
Hey I’d be happy to help!
1st you have to draw your blank number line (make it a decent length
<———————————————————>
Then you have to label your 0 that will separate all positive and negative numbers you put
On the right side of 0 your going to have positive numbers (1,2,3,4,5,6)
And on the left side of zero, it’s gonna be negative numbers.
Then the tricky part:
Your going to make a line from -1 to 1 on your number line. Then because your greater then and less than signs do not have an “or equal to” line... your gonna put an open circle around -1 and 1 to show that x<-1 and X>1
Answer:
Here is the answer on a number line
Step-by-step explanation:
Hope this helps!
What is the circumference of this circle, in centimeters?
Answer:
65.9 so it rounds to 66cm
someone do this pls help?
Hi my answers are in the image but I only got to part two f) and I didnt understand how to find the rest
What is the product?
(**(3x2-2) (4x2 +5x)
.
O 12x + 15x8 - 8x8 - 10x5
O
12x24 + 15x12 - 8x8 - 10x4
O 12x9-10x5
O 12x24 - 10x4
The product of the expression (3x² - 2) (4x² + 5x) is 12x⁴ + 15x³ - 8x² - 10x.
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.
Given expression is (3x² - 2) (4x² + 5x).
This can be written as,
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
We have to use distributive property here.
a(b + c) = ab + ac for any three numbers or expressions, a, b and c.
(3x² - 2) (4x² + 5x) = 3x² (4x² + 5x) - 2 (4x² + 5x)
= (12x⁴ + 15x³) - (8x² + 10x)
= 12x⁴ + 15x³ - 8x² - 10x
Hence the product is 12x⁴ + 15x³ - 8x² - 10x.
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Six friends are sharing a pizza. The pizza is cut into eight equal slices. How many slices of pizza will each friend get if they share the pizza equally?
Answer:
It would be about 1.3 a piece.
Step-by-step explanation:
If there is 8 slices and six friends i think u would divide 8 by 6 which is 1.3 repeating which rounds up to 1.3
(Brainliest plz?)
Find the length of each arc, Round your answas to the nearest tenth. Use 3.14 for
pi. Show your work.
Answer:
58.6 cm;
20.1 m
Step-by-step explanation:
✔️Length of arc = θ/360 × 2πr
Where,
θ = 240°
r = 14 cm
π = 3.14
Plug in the values:
Length of arc = 240/360 × 2 × 3.14 × 14
= 58.6133334 = 58.6 cm (nearest tenth)
✔️Length of arc = θ/360 × 2πr
Where,
θ = 105°
r = 11 m
π = 3.14
Plug in the values:
Length of arc = 105/360 × 2 × 3.14 × 11
= 20.1483334 = 20.1 m (nearest tenth)
2.952 + 39.24 =
A: 42.192
B: 68.76
C: 6.876
D: 687.6
E: 36.288
F: 42.76
Answer:
The answer to this question is A
Answer:A:42.192
Step-by-step explanation:
line them up by the decimals and place value
39.24
+2.952
add a zero onto 39.24 to line them up correctly
39.240
+2.952
then add to get an answer of
A:42.192
What is the image of (0,12)(0,12) after a dilation by a scale factor of \frac{1}{3} 3 1 centered at the origin?
Answer:
(1,36)(1,36)
Step-by-step explanation:
15 less than 3 times a number is 5 more than half of the number.
Answer:
Mystery Number is 8
Step-by-step explanation:
3x - 15 = 5 + 1/2x
3x - 1/2x = 15 + 5
5/2x = 20
x = 20 / 5/2
x = 20 * 2/5
x = 40 / 5
x = 8
What number do these words represent?
Two-hundred thousand, ninety-seven
What is the x-value of the solution to this system of equations?
Y=2/7x-1
2x + 7y = -49
Answer:
x = -21/2
Step-by-step explanation:
y= 2/7 x-1
or, 7y= 2x -7
or, 2x -7y =7
2x + 7y = -49
4x = -42
x= -21/2
y= 2/7 × -21/2 -1
= -4
Please help I don’t gat this
Answer:
30 yards
Step-by-step explanation:
the dotted line causes a rectangle and a triangle to be formed. the formula for area of a triangle is base times height divided by 2. you subtract 6 from 9 which is 3 and multiply it by 4 as it is the height of the triangle after, divide by 2 . since 4 and 3 is 12, dividing 12 by 2 is 6 which is the area of the triangle. the area of the rectangle is 6 times 4 which is 24. add 24 and 6 and u get 30