Answer:
60
Step-by-step explanation:
To find area just multiply base time height, length time width, or side time side if it is a square, so 5 x 12 = 60
The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
Given the two triangles shown, find the value of x
Answer: x = 150/6 = 25
Step-by-step explanation:
Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)
The value of x is (Choose...4, 11, 12, 19, 20, 25).
To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:
DE/CB = EF/BA
x/10 = 15/6
x = 150/6 = 25
The value of x in the triangle is 25
The triangle are similar.
What are similar triangles:Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.
Therefore, let's find the value x by establishing the proportion below:
ΔABC ≅ ΔFED
AB / FE = BC / ED = AC / FD
6 / 15 = 10 / x
cross multiply
6x = 150
x = 150 / 6
x = 25
learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults
HELP ASAP I WILL MARK BRAINLIST!!!!!
Answer:
45°
Step-by-step explanation:
Given,
x° = (90-x)° [Alternate exterior angles]
=> 90 - x = x
=> 90 = x + x
=> 90 = 2x
[tex] = > x = \frac{90}{2} [/tex]
=> x = 45°(Ans)
Evaluate the following
Lim (xcotx)
x->00
Answer:
1
Step-by-step explanation:
Evaluate the following
Lim (xcotx)
x->0
Note that cotx = cosx/sinx
The expression becomes
Lim (xcotx) = Lim (xcosx/sinx)
x->0 x->0
= 0cos0/sin0
= 0/0 )(ind)
Apply l'hospital rule
= Lim d/dx(xcosx/sinx)
x->0
= lim (-xsinx + cosx)/cosx
x->0
= -0sin0+cos0/cos0
= 0+1/1
= 1/1
= 1
Hence the limit of xcotx as x tends to zero is 1
A complex shape with measurements 4 feet, 10 feet, 4 feet, 2 feet, 4 feet, 6 feet, 4 feet, 2 feet.
The perimeter of the shape is
feet.
Answer: Add each side to get perimeter so your total is 38ft
Step-by-step explanation:
Answer: 36
Step-by-step explanation:
What is it’s equation in point slope form?
Answer:
y = -2x + 28
Step-by-step explanation:
Slope intercept form is-
y = mx + b
y = y coordinate
m = slope, the rise/run
x = x coordinate
b = the y-intercept, the place the line crosses the y-axis.
Now, fill in the formula with the proper information.
y = -2x + b You can use the point (10, 8) for the x and y coordinates to find b
8 = -2(10) + b Now solve for b
8 = -20 + b
+20 +20
28 = b Now substitute 28 in for b
y = -2x + 28
Answer:
y-8=-2(x-10)
Step-by-step explanation:
y-y1=m(x-x1)
y-8=-2(x-10)
Please help me I’m desperateeee
Answer:
Step-by-step explanation:
First box: (0,1)
Second box: (0,-3)
Third box: (0,-4)
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
Value of ratio 3/4 to 2
Answer:
3/8 or 0.375
Step-by-step explanation:
0.75/2 = 3/8
Can a triangle have three acute angles? Justify your answer
find the value of find the value of a -7 when a equals 19
Answer:
12
Step-by-step explanation:
You have to substitute a by 17 and then just subtract.
The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%
Answer:
15,000,r=30%
Step-by-step explanation:
can somebody help me?
Answer:
1 and 2
Step-by-step explanation:
please help me on this it is 55 points
Answer:
59/1
Step-by-step explanation:
Which equation can be used to solve x + 3 = 15?
Answer:
The equation 15 - 3 = x will help solve for x.
x = 12
Step-by-step explanation:
15 - 3 = 12
Hope this helped! Have a nice day! Plz mark as brainliest!!!
-XxDeathshotxX
Answer:
x = 15 - 3
Step-by-step explanation:
We need to isolate the variable for this. Simply subtract by 3 to get the equation.
x + 3 = 15
- 3 - 3
x = 15 - 3
the real answer would be 12, if you need that.
Target buys pants for $6.42 and marks up the price for customers by 70%. How much do they sell pants for?
0.7\left(6.42\right)=\$4.490.7(6.42)=$4.49
$4.49 is not the correct answer. What is the mistake? Explain.
Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
Learn more about Triangle here:
https://brainly.com/question/2773823
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round 18334 to hundreds
Answer:18300
Step-by-step explanation:
Write an equation to show how the Distributive Property can help you solve each problem. 3 Kelly signed copies of her new book at a local bookstore. In the morning she signed 36 books, and in the afternoon she signed 51 books. It took her 5 minutes to sign a book. How much time did she spend signing books? Equation: Solution:
Answer:
wouldnt it be 8 im not sure tho
Step-by-step explanation:
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answer:
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Step-by-step explanation:
jk its c
If I have a 74 in one of my classes and then I get a 100 on my test what will my grade be
Answer:
Depends on the weight of the test
Step-by-step explanation:
Please help me I wanna go to sleep
What is true about this sequence?
8000, 4000, 2000, 1000, ...
Answer:
B
Step-by-step explanation:
each consecutive term is divided by 2
A box contains 57 red marbles, 40 white marbles, and 70 blue marbles.
If a marble is randomly selected from the box, what is the probability that it is blue? Express your answer as a simplified fraction or a decimal
rounded to four decimal places.
Please help please thank
Answer:
3/4 of an hour
Step-by-step explanation:
the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4
A family wants to rent a car to go on vacation. Company A charges $35.50 and 11¢ per mile. Company B charges $60.50 and 14¢ per mile. How much more does Company B charge for x miles than Company A?
Answer:
$30 and 1 cent more
Step-by-step explanation:
$60.50 - $30.50 = $30
0.12 - 0.11 = 0.01
Douglas works for a racing car team.
The team is practising at a racing circuit
The length of the racing circuit is 4.8 kilometres.
The team car takes 2 minutes to go once round the racing circuit.
(a) Work out the average speed of the team car.
Give your answer in kilometres per hour.
(3)
Write your answer in the box below.
kilometres per hour
Show your working clearly in the
The working box can be moved
Working Box
(b) Use estimation to show a check of your answer.
(1)
Write your check in the box below.
Answer: the answer is c
Step-by-step explanation:
Which number is not a factor of 42?
2 3. 4 7
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
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Answer: What is this free?
Answer:
yes
Step-by-step explanation:
yes+yes(no-no)
=yes
In ATUV, the measure of V=90°, TU = 24 feet, and VT = 15 feet. Find the measure
of U to the nearest degree.
Answer:39
Step-by-step explanation: yes