Answer:
$4242
Step-by-step explanation:
Given data
Principal= $14000
TIme = 4 years
Rate= 6.85%
Let us find the final amount A
A=P(1+r)^t
substitute
A=14000(1+0.0685)^4
A=14000(1.0685)^4
A=14000*1.303
A=$18242
Hence the interest is
Interest= Final amount-Principal
=18242-14000
=$4242
Find
(1) The total surface area of a closed cylindrical petrol storage tank whose diameter
4.2 m. and height 4.5 m.
(i) How much steel sheet was actually used, if 1/12
of the steel was wasted in making
of the tank. (anewer quickly and steps in order )
Answer:
The amount of steel used = 94.38 [tex]m^{2}[/tex]
Step-by-step explanation:
Height of the tank = 4.5 m.
Diameter of the tank = 4.2 m.
But,
radius = [tex]\frac{diameter}{2}[/tex]
= [tex]\frac{4.2}{2}[/tex]
radius = 2.1 m
Total surface area of a cylinder = 2[tex]\pi[/tex]rh + 2[tex]\pi[/tex][tex]r^{2}[/tex]
= 2[tex]\pi[/tex]r(r + h)
= 2 x [tex]\frac{22}{7}[/tex] x 2.1 (2.1 + 4.5)
= 44 x 0.3 (6.6)
= 87.12
Total surface area of a cylinder = 87.12 [tex]m^{2}[/tex]
Since [tex]\frac{1}{12}[/tex] of the steel was wasted, then;
[tex]\frac{1}{12}[/tex] x 87.12 = 7.26 [tex]m^{2}[/tex]
Actual area of steel sheet used = 87.12 + 7.26
= 94.38 [tex]m^{2}[/tex]
Thus, 94.38 [tex]m^{2}[/tex] of steel was used in making the tank.
10% of what = 70,000
Answer: 7000.
Step-by-step explanation:
Answer:
700,000
Step-by-step explanation:
70000 ÷ 10% = 700000
8 cm
20 cm
12 cm
Find the volume of the triangular prism.
and show Work
A 960 cm
B 480 cm
C 240 cm
D 1920 cm
You can download answer here
tinyurl.com/wpazsebu
hii please help i’ll give brainliest!!
rename 11/5 as a mixed answer
Answer:
[tex]2\frac{1}{5}[/tex]
Step-by-step explanation:
11 goes into 5 two times, but we are left with a remainder of 1.
So, we can say that the mixed number would be [tex]2\frac{1}{5}[/tex].
besties i need help again btw it's not -48 hdhd
Step-by-step explanation:
-6 / 24/3
= -6 x 3/24
= -18/24
= -6/8
= -3/4
please help asap!! it’s due in about 20 minutes
Answer:
GH = 20
Step-by-step explanation:
Here, we want to get the numerical length of GH
from what we have, G is on FH
What this could mean is that;
FG + GH = FH
x + 5x = 4x + 8
6x = 4x + 8
6x-4x = 8
2x = 8
x = 8/2
x =4
Recall;
GH = 5x
GH = 5(4)
GH = 20
how do you find the indivisuil of 4 divided by 6
Answer:
6
Step-by-step explanation:
Answer:
u use like 4/6=2/3=0.6
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NK
a
1
2
3
у
2
4.
8
16
Is the table linear, exponential, Quadratic, or not a
function at all?
Answer:
Is Linear
Step-by-step explanation:
Because The number said that
Help ASAP Need This Answered RN
HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP 10 POINTS anD BRAINIESt
Answer:
35.859375?
Step-by-step explanation: ;-;
Rewrite the function f (x) = 3 (x - 1)^2 – 2 in the form f(x) = ax^2+bx+c
Answer: 3x^2-6x+1
Step-by-step explanation:
In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.
What is the value of -5 ?
Answer:
-1 because if you look you have multiple it
Step-by-step explanation:
hope this help
Dr James ordered 56 pizzas for the teachers. Of the pizzas ordered, 2/7 of them were pepperoni, 19 were cheese , and the rest were veggie pizzas. How many of the slices were veggie .
Answer:
21
Step-by-step explanation:
Dr James ordered 56 pizzas for the teachers.
Of the pizzas ordered, 2/7 of them were pepperoni,
Number that were pepperoni = 2/7 × 56 pizzas
= 16 pizzas were pepperoni
19 were cheese , and the rest were veggie pizzas.
How many of the slices were veggie?
The number of veggie slices is calculated as:
Veggie slices = Total number of pizzas - ( Number of Pepperoni + Number of Cheese)
= 56 - ( 16 + 19)
= 56 - 35
= 21
The number of veggies is 21
Question 9: What does x equal?
26
Step-by-step explanation:
3x + 2x = 50 = 180
5x = 130
x = 26
Help please
Find the value of x when y=0. x + 4 = y
Answer: x = -4
Step-by-step explanation:
-4 + 4 = 0
if y = 0 then X will be -4
Answer:
hello
Step-by-step explanation:
answer is x=-4
because if we add
4-4=0
x+4=0
-4+4=0
Nate scored a 990 on his first autempton
the SAT and a 1140 on his second attempt
Percent of change classify as a percent increase or decrease
Answer:
It was a percentage increase of 15.15%
Step-by-step explanation:
1140 is greater than 990, so it is an increase in scores
Percentage increase = (change in score / first score) x 100
change in score = second score - first score
1140 - 990 = 150
(150 / 990) x 100 = 15.15%
Zara and John are hiking on a trail that is 2 miles long. There are signs to mark each eighth of a mile along the trail draw a number to show the length of the trail. Then mark the number line off to show where each sigh is.
Answer:
Kindly check attached picture
Step-by-step explanation:
The number line described in the question is illustrated on the picture below. The length of the number line spanning 2 miles and the distance between each successive tick marks being 1/8 miles. The tick marks shows where each sign is.
Answer:
Step-by-step explanation:
Help me I’m lost I’ve been stuck on this the pas 20 min anyone help
Answer:
I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.
What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft
Chris got 28 out of 35 correct in his test.
What fraction of the marks did he get correct?
Answer:
4/5
Step-by-step explanation:
Draw triangle ABC so that
AB = 6 cm. A = 70°. and B = 50°
And then calculate the measure of angle ABC
Answer:
abc=60
bc 180-70-50=60
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
Consider the figure shown below, find the value of
g
Given:
A figure of a triangle.
To find:
The value of g.
Solution:
Law of Cosines:
[tex]a^2=b^2+c^2-2bccosA[/tex]
Using the Law of Cosines for the given triangle, we get
[tex]g^2=8^2+7^2-2(8)(7)cos(65^\circ)[/tex]
[tex]g^2=64+49-112(0.4226)[/tex]
[tex]g^2=113-47.3312[/tex]
[tex]g^2=65.6688[/tex]
Taking square root on both sides.
[tex]g=\sqrt{65.6688}[/tex]
[tex]g=8.10363[/tex]
[tex]g\approx 8.10[/tex]
Therefore, the value of g is about 8.10 units.
Can someone pls help
Answer:
7
Step-by-step explanation:
Isabella has 63 hair bows. Isabella's sister has h more hair bows than Isabella. Choose the expression that shows how many hair bows Isabella's sister has.
Answer:
(h+63)
Step-by-step explanation:
Given that,
Isabella has 63 hair bows.
Isabella's sister has h more hair bows than Isabella. It means,
Isabella's sister = h+63
h and 63 are added as Isabella's sister has h more hair bows than Isabella.
Hence, the expression would be (h+63).
Which of the following expressions is equivalent to 4^-3?
Answer:
x(12y+4)
Step-by-step explanation:
What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNINGin the accompanying diagram of the unit circle, the ordered pair _ represents the point where the terminal side of 0 intersection in the unit circle
The ordered pair of a unit circle is represented as:
[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]
The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240
The given parameter can be represented as:
[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]
This means that:
[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]
[tex]\cos(\theta) = -\frac{1}{2}[/tex]
Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]
So, we have:
[tex]\theta = 180 + \alpha[/tex]
Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]
The equation becomes
[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]
Apply cosine formula
[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]
[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]
Divide both sides by -1
[tex]\cos(\alpha)= \frac{1}{2}[/tex]
Take arccos of both sides
[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]
[tex]\alpha= \cos^{-1}(0.5)[/tex]
[tex]\alpha= 60[/tex]
Recall that:
[tex]\theta = 180 + \alpha[/tex]
[tex]\theta = 180 +60[/tex]
[tex]\theta = 240[/tex]
Read more at:
https://brainly.com/question/11907132
Chose the best estimate for 18% of 54
Answer is in the file below
tinyurl.com/wpazsebu
