Answer:
D
Step-by-step explanation:
Continuous compound is given by the following formula:
[tex]A=Pe^{rt}[/tex]
Where A is the ending amount, P is the initial amount, e is Euler's number, r is the rate, and t is the time in years.
We have a $5000 investment at 4% or 0.04 for 18 years. Therefore:
[tex]A=5000e^{(0.04)(18)}[/tex]
Use a calculator:
[tex]A\approx\$ 10272.17[/tex]
Hence, our answer is D.
Step-by-step explanation:
P(t) = P0 * e^rt
=> P(18) = $5000 * e^(0.04 * 18) = $10,272.17. (4)
Simplify 12/3 + 6.2
A 2/3
B 16
C 24/9
D 20
Step-by-step explanation:
(12/3)+6.2
4+6.2
=10.2
help me ineed a good grade becasue i need a good grade
300 + 40 + 7/10 + 5/100 + 3/1000
Answer:
Exact form: 340753/1000
Decimal form: 340.753
Mixed number form: 340 [tex]\frac{753}{1000}[/tex]
Step-by-step explanation:
:)
HELP!! Dr. Montgomery recently graduated from medical school and his wife bought him an engraved stethoscope. The stethoscope cost $160.00. The sales tax in his city is 8%. What is the total cost of the stethoscope in dollars and cents including sales tax?
Answer:
$172.8
Explanation
Divide 160 ÷ 100 to get 1.6 then multiply it by 8 to get 12.8 then add 160 to get 172.8
wrire the feaction 7 / 14 in its simplest form
Answer:
1 / 2
Step-by-step explanation:
wjqjqk qk11 1smqiqm
Answer:
1/2
Step-by-step explanation:
7 and 14 can both be divided by 7, 7/7 = 1 and 14/7 = 2, so 7/14 = 1/2.
Char bought a TV for $1,345.36, including tax. She made a down payment of $250 and paid the balance in six equal monthly payments. What was Char's monthly payment for the TV? A $265.89 B $224.23 C $182.56 D $474.23
Answer:
Char's monthly payment for the TV was $182.56.
Step-by-step explanation:
To find the answer, first you have to subtract the down payment from the cost of the TV:
$1,345.36-$250=$1,095.36
Then, you have to divide the remaining amount by six to find the monthly payment:
$1,095.36/6=$182.56
According to this, the answer is that Char's monthly payment for the TV was $182.56.
What is the surface area of this shape?
Anewer:
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
Step-by-step explanation:
Hey there!
Given figure is a triangular based prism. Where the triangle is right angled triangle.
So,
Hypotenuse (h) = 6.5m
Perpendicular (p) =2.5 m
Base (b) = 6m
Length of triangular prism (l) = 10m.
We have;
Lateral surface area= Perimeter*length of prism.
LSA = (6.5+2.5+6) * 10
LSA = 15*10
Therefore, LSA of the shape is 150 m².
Now, Area of base=( 1/2 )*b*p
= (1/2)*(6*2.5)
= 7.5 m²
Therefore, area of base = 7.5 m²
Now, TSA= 2*Area of base+LSA
= (2*7.5 + 150) m²
= 165 m²
Therefore, the Total surface area is 165 m².
Hope it helps....
The circumference of Z is 84 cm. What is the length of xy (the minor arc)?
O A. 8.4 cm
B. 336 cm
C. 28 cm
D. 15 cm
E. 21 cm
F. 42 cm
Answer:21 cm
Step-by-step explanation: The circle's circumference is 84 cm. 84 / 4 = 21. Therefore the length of the arc XY is 21 cm.
The length of xy is 8.4 cm.
The correct option is A.
What is an arc measure?A circle's arc, or circumference, is a section of the circle. The difference between an arc length and an arc measure is the angle the arc creates with the circle's center. It is possible to measure this arc in radians or degrees.
If the circumference of Z is 84 cm, the radius can be calculated using the formula:
C = 2πr
where C is the circumference and r is the radius.
So,
84 = 2πr
r = 84/(2π)
r ≈ 13.369
Now, the length of xy (the minor arc) can be calculated using the formula:
length of arc = (central angle/360) x 2πr
To find the central angle, we can use the fact that the minor arc xy and the major arc AB add up to the circumference of the circle. Since the circumference is 84 cm, and the major arc AB has length equal to half the circumference, which is 42 cm, then the length of the minor arc xy is:
length of xy = 84 - 42 = 42 cm
Now, to find the central angle corresponding to this arc, we can use the formula:
central angle = (length of arc / 2πr) x 360
central angle = (42 / 2π(13.369)) x 360
central angle ≈ 57.051
Therefore, the length of xy is:
length of xy = (57.051/360) x 2π(13.369)
length of xy ≈ 8.455
Rounding to the nearest tenth, we get:
length of xy ≈ 8.4 cm
Therefore, the answer is option A, 8.4 cm.
To learn more about the arc measure;
https://brainly.com/question/30250584
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Let g(x)= -7x + 4. Find the following
g(-5)
Answer:g(-5)=39
Step-by-step explanation:plug -5 in for x and solve. -7*-5=35 35+4=39
PLEASE HELP Solve the following problems: Find the indicated values, mAB, m ABC, mBAC, mACB
Answer:
see explanation
Step-by-step explanation:
The angle at the centre of a circle is equal to the measure of the arc that subtends it, thus
AB = ∠ AOB = 49°
The measure of arc BC = 360° - (49 + 107)° = 360° - 156° = 204°, then
ABC = AB + BC = 49° + 204° = 253°
BAC = BA + AC = 49° + 107° = 156°
ACB = AC + CB = 107° + 204° = 311°
A cube of edge length 3 units has each face painted orange. The cube is then cut into 27 unit cubes. How many of these unit cubes have exactly two faces painted orange
Answer:
12
Step-by-step explanation:
Question is in the picture pls help.
Answer:
c. is the answer
7/10 people voted for team A. 3/5 of those people wore red caps. What fraction of those people wore red caps AND voted for team A?
Answer:
21/50
Step-by-step explanation:
Fraction that voted for team A = 7/10
Fraction of those that wear red cap = 3/5 of fraction of team A
Fraction of those that wear red cap = 3/5 of 7/10
Fraction of those that wear red cap = 3/5*7/10
Fraction of those that wear red cap = 21/50
Hence the fraction of people that wear red cap is 21/50
Multiply or divide, write your answer in scientific notation.
1.44 over 2.4 × 10^10 over 10^2 =
Can you help me with this problem?
Pablo decide ahorrar su dinero en una alcancía y cada día ahorra $100 más que el día anterior ¿cuánto ahorraría el día "20" si el primer día tenía $100? Expresa la función y resuelve
Answer:
Pablo decides to save his money in a piggy bank and each day he saves $ 100 more than the day before. How much would he save on day "20" if he had $ 100 on the first day? Express the function and solve
Step-by-step explanation:
Simplify each expression using the order of operations. Then, match the expression (term) on the left with its solution (definition) on the right. (4 points)
1.
5 + 42 ÷ 2(3)
2.
22 − 3 ⋅ 6
3.
−2 + 4 ⋅ 32 − 6
4.
−5 − (32 + 2)
a.
-16
b.
-14
c.
28
d.
29
the answer is 1. i got this because i did 19 x 18 and got 189 so then i got 1/2 of 1382 wich equals 5+42 / 2(3).
Need help ASAP!!!!!!
Answer:
answer is a
Step-by-step explanation:
15 over 18 simplified
Answer:
5/6
0.83333333
Step-by-step explanation:
Answer:
5/6
Step-by-step explanation:
A vase is reduced in a sale by 20% to £56. What was the original cost of the vase?
Answer:
Original cost =70 pounds
Step-by-step explanation:
Let original cost be x,
so original cost = x
[tex]x*\frac{80}{100} = 56[/tex]
[tex]x = 56 /\frac{80}{100}[/tex]
[tex]x = 70 pounds[/tex]
I need help with this
What is the area of the shaded region
Answer:
129 square inch
it is correct
You can thank me in the comment
Answer:
24 inches squared
Step-by-step explanation:
You know the one side of the 42 region is 6, so divide 42/6 to get 7.
Now you know one side of the 35 region, so 35/7 is 5.
Then, you know one side of the 20 region, so 20/5 is 4.
That gives you the missing side you need to find the area of the shaded region.
6 x 4 = 24 in^2
Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run
Answer:
6 laps
Step-by-step explanation:
Each lap Jeffrey needs to run is one tenth of a mile he wants to run threee fifths of a mile how many laps does he need to run
One tenth of a mile = 1/0
Three fifths of a mile = 3/5
From the question:
1/10 mile = 1 lap
3/5 mile = x
Cross Multiply
1/10 mile × x = 3/5 mile × 1 lap
x = 3/5 mile × 1 lap/ 1/10 mile
x = 3/5 ÷ 1/10
x = 3/5 × 10/1
x = 6 laps
Therefore, for there fifths of a mile(3/5) he needs to run 6 laps
what is 926 divided by 24
Answer:
38.58
Step-by-step explanation:
Help please someone
Giving brainliest!!!!!!
Answer:
B
Step-by-step explanation:
A closed dot means that it does not include that number. So, the answer b shows greater than 7.
Find the HCF of; 2^3×3^2×5^2,2^5×3^5×5^2
Step-by-step explanation:
The factors common in both the given numbers are 2^3,3^2 and 5^2
Therefore HCF=2^3*3^2*5^2
=8*9*25
=1800
plsss help me i will mark u
Answer:
4 to 1
Step-by-step explanation:
A forest fire is burning 5000 acres in 3 days
At that rate, how many acres will be burned in 12 days?
Answer:
20,000
Step-by-step explanation:3 days= 5000 so each 3 days 5000 burns down for 12 days so 5000 x 4
An ounce of Skittles cost $0.38. If Brady bought 8 ounces, how much did he have to pay?
Answer: $3.04
Step-by-step explanation:
Brady bought 8 ounces of Skittles and it is said that one ounce costs $0.38.
His total cost will therefore be the quantity he bough multiplied by the cost of each quantity:
= Cost of an ounces of skittles * skittles bought
= 0.38 * 8
= $3.04
Brady had to pay $3.04.
Write the slope-intercept form of the equation
of each line
NEED HELP ASAP
Answer:
y=x+1
Step-by-step explanation:
Slope intercept form is y=mx +b
m, the slope is 1. As the line goes up 1, it also goes right 1. 1/1 =1
b, the y intercept, intersects the y axis at 1 (0,1).
Therefore, the equation would be y=x+1
Hope this helped! :)