Answer:
A) $1,050
B) $6,050
Step-by-step explanation:
We solve using the Simple Interest formula
Simple Interest (I) = Principal × Rate × Time
From that above question, we have the parameters
Principal = $5000
Rate = 3.5 % = 0.035
Time = 6 years
A) How much will he have to pay for the interest?
Hence,
Interest = $5,000 × 0.035 × 6
= $1,050
Therefore, the amount of interest he will have to pay is $1,050
B) How much will he have to pay total?
The amount he will have to pay in contact =
Principal + Interest paid on loan
= $5,000 + $1,050
= $6,050
What is the surface area and volume of this triangular prism?
At the beginning of the school year, there
were 1200 students enrolled at Elmwood
Middle School. At the end of the year, there
were 1128 students. Find the percent of
change in enrollment.
Answer: 6% decrease
Step-by-step explanation:
Answer:
6% decrease
Step-by-step explanation:
Given that,
Initial number of students = 1200
At the end of the year there were 1128 students
We need to find the percent of change in enrollment.
Change in enrollment = 1200 - 1128 = 72
The percentage of change is :
[tex]\%=\dfrac{\text{change in students}}{\text{initial students}}\times100\\\\\%=\dfrac{72}{1200}\times 100\\\\=6\%[/tex]
So, there is a decrease of 6% in number of students.
In the figure below, m ZABD=70°, and m 2 2 is four times m 2 1. Find m2 1.
А
mZ1 = 33
]
B
D
Recheck
Try one last time
2021
Answer:
angle m1 = 14 degrees
Step-by-step explanation:
angle ABD = 70 deg
angle m1 + angle m2 = 70 deg
angle m2 = 4 * angle m1
angle m1 + (4 * angle m1) = 70 deg
5 * angle m1 = 70 deg
angle m1 = 14 deg
A hall 130 feet in length was designed as a whispering gallery. If the ceiling is 25 feet high at the center, how far from the center are the foci located?
Answer:
60 feet from the center.
Step-by-step explanation:
As this it was designed as whispering gallery, and we know the whole length of the hall, and the highness of the ceiling we can use the following expression:
c² = a² - b² (1)
Where:
c: Length from center to foci.
a: length of half the hall.
b: length of the ceiling.
Replacing the given data into (1) we have:
c² = (130/2)² - (25)²
c = √65² - 500
c = √3600
c = 60 feetHope this helps
Find the number such that five times this number is seven less than 82
Answer:
15
Step-by-step explanation:
5n = 82 - 7
82 - 7 = 75
75/5 = 15
n = 15
A bag contains 40 marbles. The probability of selecting a red marble at random is 1/5. How many red marbles are in the bag?
Answer:
8 red marbles.
Step-by-step explanation:
All together we have 40 marbles. The fraction of marbles that are red is 1/5 which means that we should divide the total number of marbles, which is 40 by the denominator ( Bottom number of fraction ) 5 so that we get the number of groups that have 1 red marble in them. In this case we have 8 groups.
40/5=8
You always divide by the denominator ( Bottom number of fraction ) first and then you multiply your answer by the numerator ( Top number of fraction ) .
If each group has 1 red marble in it and we have 8 groups, it means that we have 8 red marbles in the bag.
1 * 8 = 8 red marbles in the bag
If the numerator (number above the fraction line) was more than one, then this would mean that we have more than 1 marble in each group of marbles.
Example:
If we had 3/5 we would have 3 marbles in each group of marbles. This means that instead of doing 1 * 8 we would have to do 3 * 8 = 24. We would have 24 red marbles in the bag.
Easy and quick way if you do not need the explanation:
Another way we could do this is by simply multiplying the fraction ( 1/5 ) by the total number of marbles ( 40 ). This would still give us an answer of 8 red marbles in the bag. 40/5=8, 8*1=8
joe has a bicycle with a front wheel that is 2 feet in diameter. how far does joe travel if his wheel turns exactly 100 complete revolutions in one directions?
314 feet
628 feet
1256 feet
6280 feet
Given:
The diameter of the wheel is 2 feet.
Number of revolution = 100
To find:
The total distance covered by the bicycle.
Solution:
The circumference of a circle is:
[tex]C=2\pi r[/tex]
Where, r is the radius of the circle.
The diameter of the wheel is 2 feet. So, the radius of the circle is 1 feet.
Putting [tex]\pi =3.14, r=1[/tex] in the above formula, we get
[tex]C=2(3.14)(1)[/tex]
[tex]C=6.28[/tex]
It means the distance covered by the wheel in one revolution is 6.28 feet.
Number of revolution is 100. So, the total distance covered by the wheel in 100 revolution is:
[tex]6.28\times 100=628[/tex]
The total distance covered by the bicycle in 100 revolution is 628 feet.
Therefore, the correct option is B.
What triangles can you make out of a rhombus
Answer:
Congruent Triangles: Remember that in a parallelogram, the diagonals split the parallelogram into two pairs of congruent triangles? Well, in a rhombus, the diagonals split the rhombus into four congruent triangles. Yes, that's right, all four of those little triangles are congruent.
Hope it helps ya mate! please give me brainliest!.ت︎ ت︎
If sine > 0 and tane < 0 then:
Answer:
its A
Step-by-step explanation:
hey! i’ll give brainliest please help.
Answer:
I think Darius I is the correct answer.
hii! please help asap. i’ll give brainliest
Answer:
4
Step-by-step explanation:
The numbers you have are 2, 2, 3, 4, 8, 8, 8
First, cross out 2 on the very left and 8 on the very right.
Then you are left with 2, 3, 4, 8, 8, Then cross out the 2 on the left and the 8 on the right, and you are left with 3, 4, 8. Cross out the 3 and 8, and you are left with the median, 4.
If this helps, make sure to rate it 5 stars and give me brainliest and a thanks!
01:4
What is the median of this set of data?
1, 2, 5, 6, 9
0
1
5
8
9
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
Answer:
3.5 if the 901589 a whole number but 5 if it is supposed to be seperated
Step-by-step explanation:
What number divided by −3 gives 12 as the result?
Answer:
-36
Step-by-step explanation:
-3 ×12=--36
on a venn diagram shade the region
a'n(bnc)
Answer:
See the three attached images.
Step-by-step explanation:
image1 shows the intersection of b and c: [tex]b \cap c[/tex]. (green "football")
image2 shows the complement of a (outside a): [tex]a'[/tex] (yellow)
image3 shows the intersection of those sets: [tex]a'\cap (b\cap c)[/tex] (green "football with a bite out of it") :-)
A rectangular prism and its net are shown below.
(All lengths are in yards.)
Answer:
C=2 D=2
SA=
Step-by-step explanation:
Surface Area (SA)= 2(wl+hl+hw)
2(2×5+9×5+9×2)
=146 yards
Find the area of this circle. Use 3 for .
A = 7r2
18 in
[?] in2
Answer:
Area of a circle = πr^2 if pi here = 3
then (3 × 81) in^2 = 243 in^2
Hope it helps
Answer:
The area of circle is 254.34 in².
Step-by-step explanation:
Given :
[tex]\small\purple\bull[/tex] Diameter of circle = 18 inTo Find :
[tex]\small\purple\bull[/tex] Radius of circle [tex]\small\purple\bull[/tex] Area of circleUsing Formulas :
[tex]\star{\small{\underline{\boxed{\sf{\pink{R = \dfrac{D}{2}}}}}}}[/tex]
[tex]\blue\star[/tex] R = radius [tex]\blue\star[/tex] D = diameter[tex]\star{\small{\underline{\boxed{\sf{\pink{Area_{(Circle)} = \pi{r}^{2} }}}}}}[/tex]
[tex]\blue\star[/tex] π = 3.14 [tex]\blue\star[/tex] r = radiusSolution :
Here we have given that diameter of circle is 18 in. So, finding the radius of circle :
[tex]\implies{\sf{Radius = \dfrac{D}{2}}}[/tex]
[tex]\implies{\sf{Radius = \dfrac{18}{2}}}[/tex]
[tex]\implies{\sf{Radius = \cancel{\dfrac{18}{2}}}}[/tex]
[tex]\implies{\sf{Radius = 9 \: in}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Radius = 9 \: in}}}}}[/tex]
Hence, the radius of circle is 9 in.
[tex]\rule{200}2[/tex]
Now, we know the radius of circle is 9 in. So, finding the area of circle by substituting the values in the formula :
[tex]\implies{\sf{Area_{(Circle)} = \pi{r}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9)}^{2}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times {(9 \times 9)}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 3.14\times (81)}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314}{100} \times 81}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{314 \times 81}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = \dfrac{25434}{100}}}[/tex]
[tex]\implies{\sf{Area_{(Circle)} = 254.34 \: {in}^{2} }}[/tex]
[tex]{\star{\underline{\boxed{\sf{\red{Area_{(Circle)} = 254.34 \: {in}^{2}}}}}}}[/tex]
Hence, the area of circle is 254.34 in².
[tex]\rule{300}{1.5}[/tex]
whats the slope of the line
solve the system of equations y=8x+5 y=6x+25
Answer:
(10,85)
Step-by-step explanation:
x=10
y=85
In ΔMNO, the measure of ∠O=90°, MN = 60 feet, and OM = 11 feet. Find the measure of ∠N to the nearest degree.
Answer:
I don't have the right calculator but if you type sin-1(11/60) it'll give you the answer
PLEASE HELP I NEED THIS ASAP
(A)
Step-by-step explanation:
Multiply both sides by (x + 3)(x - 3)
4(x + 3) + 2 = (x- 3)
4x + 12 + 2 = x - 3
3x = - 17
or
x = -17/3
Which of the following expressions represents the product below?
(4 i+ 3)(5 - 2i)
7 + 14i
15 +6i
-7 +26i
23 + 14i
Answer:
[tex](4 i+ 3)(5 - 2i)[/tex]
[tex]= - {8i}^{2} + 20i + 15 - 6i[/tex]
[tex]= - {8i}^{2} + 14i + 15 [/tex]
A rectangle measures 15 2 inches by 4 3 inches. What is its area?
Answer:
65.36
Step-by-step explanation:
15.2 x 4.3 = 65.36
need help to pass please
Answer:
x=1
Step-by-step explanation:
a(a+b)=c(c+d)
4(6x+4)=5(3x+5)
24x+16=15x+25
9x=9
x=1
Find the surface area of the prism.
A triangular prism. The base triangle is a right triangle with a base of 8 centimeters, slant height of 17 centimeters and height of 15 centimeters. The height of the prism is 7 centimeters.
Answer:
400cm²
Step-by-step explanation:
Total surface area of a prism includes the area of the top and bottom triangle sides of the prism, plus the area of all 3 rectangular sides.
Base & Bottom triangle area: 2 x [(8 x 15)/2] = 120cm²
Side triangle area: 17 x 7 + 8 x 7 + 15 x 7 = 280cm²
Total surface area = 280 + 120 = 400cm²
NO websites or fake links, inappropriate comments, wired, or not helping comments our your reported and show me your steps to each problem
Answer: 3. 2/3 2. (Just make up a problem with the model). 1. 3/8-2/8= ____(answer)
Step-by-step explanation:
Put Them in The box They Go in
Answer:
[tex] \frac{1}{3} \times r - 4 \\ 3 \times r - 4 \\ \frac{1}{3} \times r + 4 \\ 3(r + 4)[/tex]
Write the slope-intercept form of the equation of each line.
3x − 2y = −16 2) 13x − 11y = −12
Answer:
1. y= 3/2x + 8
2. y= 13/11x+12/11
Step-by-step explanation:
Answer:
y = 3/2x + 8 , y = 13/11x + 12/11
Step-by-step explanation:
Explain how to determine the x- and y- intercepts of a line from a given equation in y = mx + b form.
Answer:
Step-by-step explanation:
x-intercept: Set y = 0 and solve for x:
0 = mx + b, or mx = -b, or x = -b/m. x-intercept is then (-b/m, 0)
y-intercept: Set x = 0 and solve for y: y = m(0) + b, or y = b. y-intercept is then
(0, b).
which number is irrational?
A) square root 12
B) square root 36
C) square foot 64
D) square root 144
find the loss if cp= Rs550 sp= Rs494
Answer:
loss =Rs 56
Step-by-step explanation:
loss =cp-sp
550-49456stay safe healthy and happy.