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
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.
HELLLLLLLLLLLLLLLLLPPPPPPPPPPPP 10 POINTS anD BRAINIESt
Answer:
35.859375?
Step-by-step explanation: ;-;
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
What is 3.5 divided by 16.87 using long division.
Answer:
CORRECT ME IF I'M WRONGStep-by-step explanation:
#CARRY ON LEARNINGHelp ASAP Need This Answered RN
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
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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
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.
10% of what = 70,000
Answer: 7000.
Step-by-step explanation:
Answer:
700,000
Step-by-step explanation:
70000 ÷ 10% = 700000
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
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].
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
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 value of -5 ?
Answer:
-1 because if you look you have multiple it
Step-by-step explanation:
hope this help
Chose the best estimate for 18% of 54
Answer is in the file below
tinyurl.com/wpazsebu
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%
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.
Question 9: What does x equal?
26
Step-by-step explanation:
3x + 2x = 50 = 180
5x = 130
x = 26
hii please help i’ll give brainliest!!
Which of the following expressions is equivalent to 4^-3?
Answer:
x(12y+4)
Step-by-step explanation:
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
What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft
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).
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
Evaluate:
f(x) = 3x – 4, when x=-2
O f(-2) = 2
O f(-2) = -10
O f(-2) = -2
o f(-2) = 1
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:
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:
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
in 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
Can someone pls help
Answer:
7
Step-by-step explanation: