Compound interest is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
What is compound interest?
It is the interest we earned on the interest.
The formula for the amount earned with compound interest after n years is given as:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
Where,
R = rate
P = principal.
n = number of times compounded annually.
t = number of years.
We have,
Principal = $2,000
Rate = 3.5%
Semiannually means twice a year so,
n = 2
Time = 16 years
Now,
The amount received on his 16th birthday:
A = P [tex](1 + \frac{r}{n} )^{nt}[/tex]
A = 2000 [tex](1 + \frac{3.5}{2\times 100}) ^{2\times16}[/tex]
A = 2000 [tex](1 +0.0175) ^{32}[/tex]
A = 2000 x [tex]1.0175^{32}[/tex]
A = 2000 x 1.74
A = $3480
Thus,
If P = $2000, R = 3.5%, n = 2 and T =16 years.
The amount received on his 16th birthday is $3480.
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If you used a random number generator for the numbers from 1 through 15 to play a game, what is the theoretical probability of getting an odd number or a multiple of 6?
Answer:
Getting an odd number would be 8/15 and the multiple of six would be 2/15
Here is a rectangle.
6 cm
2 cm
Not drawn
accurately
A square has the same perimeter as the rectangle.
What is the side length of this square?
4
p=2(l+b)
p=2(6+2)
p=16
p=4l
16=4l
l=4
help and ill make u brainliest Calculate the surface area of the cylinder.
Note: Figure not drawn to scale.
a. 500 cm^3
b. 301.7 cm^2
c. 140.4 cm^2
d. 351.9 cm^2
Answer:
[tex] d. 351.9 {cm}^{2} (ans)[/tex]
Step-by-step explanation:
Given,
Radius of the cylinder = 4cm
Height of the cylinder = 10 cm
Therefore,
Surface area of the cylinder
[tex] = 2\pi r(r + h)[/tex]
[tex] = 2 \times 3.15 \times 4(4 + 10) {cm}^{2} [/tex]
[tex] = 351.86 {cm}^{2} [/tex]
[tex] = 351.9 {cm}^{2} (ans)[/tex]
what are all the powers of 4 in the range 4 through 1,000
Answer:
Powers are : 4, 16 64 and 256
and this question type of question was answered from another brainly user as well lol
Which of the following best describes the slope of the line below?
A. Positive
ОО
B. Negative
O C. Zero
O D. Undefined
Help please?..........
Answer:
The answer is b.
please help ll do anything just help me with this question on math:
Which of the following is not the same as positive 3?
1. 3 units to the left of 0 on a number line
2. the opposite of -3
3. +3
4. 3
what’s the awnser? 1,2,3, or 4
answer:
3 units to the left of 0 on a number line
step-by-step explanation:
your asking for the opposite of positive 3 which just means your looking for a negative 3 ( also written like this -3 )
and going left on a number line means going down on a number line so if your going into the negatives if you started at 0
here is a small number line to help me explain this better
<----|----|----|----|----|----|----|----|----|----|----|---->
-5 -4 -3 -2 -1 0 1 2 3 4 5
* ( the star is you and your starting off at the #0 )
<|-(-1)-(-1)-(-1)- = -3 ( taking 3 jumps to the left )
*
( and now the star is at -3 which was the number you needed )
i hope this helps you and if you need anything else then just tell me! :)
What is the range of the relation in the table below? у -2,0 -1,2 0,4 1,2 2,0
Answer:
6
Step-by-step explanation:
Range : hightest number - lowest number
4 - (-2)
Which of the following relations is a function?
OA. (-8,0), (-2,5), (-8, -3), (1,9)
OB. (-8, 2), (-2,3), (1, 7), (7,2)
OC. (-2,-2).(-8,-5), (1,8), (1, 2)
OD. (7,-10), (-8, 7), (7,6), (-8, 12)
1. What is the value of x?
40
х
9
A.41
B.26
C.17
D.39
Answer:
B
Step-by-step explanation:
Let F be the set of fractions in simplest form between 0 and 1 that can be written with a single-digit denominator. Find F and |F|
Answer:
|F| is 27, the whole F is "listed" below.
Step-by-step explanation:
The set of possible denominators is the numbers from 2 to 9. Each of them produces a single fraction for each numerator that's coprime to it.
Let's list those for each:
2: 1
3: 1 2
4: 1 3 (2 is not coprime)
5: 1 2 3 4
6: 1 5 (2 3 and 4 are not coprime)
7: 1 2 3 4 5 6
8: 1 3 5 7
9: 1 2 4 5 7 8 (3 and 6 are not coprime)
To make any number from F, just take the denominator from the rows and the numerator from the list. The size of F is 1 + 2 + 2 + 4 + 2 + 6 + 4 + 6 = 27
The set/number of fractions F for each denominator are ; ( 1, 2, 2, 4, 2, 6, 4, 6 ) .while the value | F | = 27
Given that the set of fractions are between 0 and 10. the possible single digit denominators will be ( 2 through 9 ). also the single digit denominators will have to produce a single fraction where its numerator is coprime to the denominator.
note : coprime numbers are a set of numbers whose HCF (highest common factor ) equals 1
denominators co-prime numerators
2 1
3 1, 2
4 1, 3
5 1, 2, 3, 4
6 1, 5
7 1, 2, 3, 4, 5, 6
8 1, 3, 5, 7
9 1, 2, 4, 5, 7, 8
next : Determine the size of F i.e. | F |
The size of F = ∑ number of coprime numerators for each denominator
= 1 + 2 + 2 + 4 + 2 + 6 + 4 + 6 = 27
set of fractions F for each single digit denominator = ( 1, 2, 2, 4, 2, 6, 4, 6 )
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Find the value of x
(21x - 10)
19xº
Answer:
0
Step-by-step explanation:
First we move all the terms to the left so it will be 21x-10-(19x)=0 hope I helped good luck
I need help what the value of x and adjacent or vertical?
Answer:
74 degrees
The angles are adjacent, since they have a common side (adjacent basically means right next to each other).
Step-by-step explanation:
180 - 106 = 74
Both angles are supplementary, since they add up to 180 (make a straight line together).
A BAKER USES 2/3 CUP OF RYE FLOUR IN EACH LOAF OF BREAD. HOW MANY CUPS OF RYE FLOUR WILL THE BAKER USE IN 9 LOAVES?
Answer:
6
Step-by-step explanation:
2/3 times 9 = 6
(Also: The Caps really attracted me)
Factor 6 x2 - 17 x + 5. (3x - 1)(2x - 5) (3x - 5)(2x - 1) (2x - 1)(3x + 5)
Answer:
c-2=3
Step-by-step explanation:
Answer: (3x−1)(2x−5)
Step-by-step explanation:
PLEASE PLEASE PLEASE!
Answer:
70
Step-by-step explanation:
The area of one of the four triangles is [tex]\frac{1}{2}\times 5 \times 7 = 17.5[/tex]. So together the area of all the four traingles is [tex]4\times 17.5 = 70[/tex]
the store employee works 35 hours per week,which inequality can be used to find the dollar value x, of weekly sales that the employee must make to earn more than $400 per week
A.) 35(8)+0.08x<400
B.) 35(8)+0.08X>400
C.) 35(0.08)+8X<400
D.) 35(0.08)+8X>400
Solve for the value of x and y
5y 2x 40
Answer:
x=25 =18
Step-by-step explanation:
Right angle =90°
you are given 40, therefore 2x has to equal up to 50.
2x=50 divide both sides by 2
x=25
straight line=180°
you are given 90, therefore 5y has to equal to 90.
5y=90
divide both sides by 5
y=18
Examples of application of factoring in your work environment.
Answer:
dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel
Step-by-step explanation:
The first term of a geometric sequence
is -2. The common ratio is 4. What is
the 6th tem?
F -8192
H 2048
G -2048
J 8192
Answer:
Step-by-step explanation:
a₆ = a₁r⁶⁻¹ = (-2)4⁵ = -2048
The sixth term of the given sequence is required.
The required term is option G -2048.
Geometric sequencea = First term = -2
r = Common ratio = 4
n = Required term = 6
The general formula to find a term of the sequence is given by
[tex]a_n=ar^{n-1}[/tex]
Substituting the values we get
[tex]a_6=-2\times 4^{6-1}\\\Rightarrow a_6=-2\times 4^5\\\Rightarrow a_6=-2\times 4\times 4\times 4\times4\times 4\\\Rightarrow a_6=-2048[/tex]
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Help needed Asap on calc practice problems
Simplify the following expression
7-5/6.7-7/6
Complete the following statement. Round your answer to the nearest cent.
5% of $585.26 = $
The magnitude of an earthquake is found by the equation M = 2/3 * log E/10^11.8 , where M is the magnitude and E is the energy released. Find the magnitude of an earthquake that released 10 ^ 21.6 ergs of energy
The answer is D. 6.5
The population of a village is in the following ratios.
women: children = 13:4
men: children = 7:3
a) Find the ratio women : men.
Give your answer in its simplest form.
women : men
Answer:
13:7
Step-by-step explanation:
We see that the ratio from women:children is 13:4.
Therefore, the number of women is 13.
In the ratio comparing men to children we see that it is 7:3.
Therefore, the number of men is 7.
Now we need to compare the number of women to the number of men which is 13:7.
3 x 3 x 3 x 3 x 3 x 3 as an exponential notation
Answer:
3^6
Step-by-step explanation:
Answer:
3^6
Count how many threes there are and that's the exponent
Entomologists estimate that an average person consumed almost a pound of bug parts each year. There are that many insect eggs, larvae, and miscellaneous body pieces in the food we eat and the liquids we drink. The Food and Drug Administration (FDA) sets a Food Defect Action Level (FDAL) for each product. For example, the legal limit for peanut butter is 30 insect fragments per 100 grams. You just bought the crackers with 25 grams of peanut butter. What is the probability that the snack will include at least 3 crunchy critters
Answer:
0.9797
Step-by-step explanation:
We have X = number of insects in the 25bgrams of butter
Then the legal limit of concentration in peanut butter = 30 fragments/ 100 grams
Then insect amount in 25 grams =
E(X) = 30/100 x 25
= 0.3 x 25
= 7.5 fragments of insects
Using the poisson function in Excel, the probability of at least 3 crunchy critters
1 - p(X<=2)
p(X<=2) = POISSON (2, 7.5, TRUE) = 0.020156715
1 - 0.020156715
= 0.9797
If I save 10$ at the end of every month for 12 years how much will I have ?
Answer:
1440
Step-by-step explanation:
theres 144 months in 12 years and I just multiplied it by 10
In this arithmetic sequence 3, 8, 13, 18, ... which term has the the value 123?
25
24
617
613
Answer:
what's the deal wit u
Step-by-step explanation:
Jenny is planning an extended trip to Russia.The table below shows a list of cities which she would like to visit during her stay, along with the amount of money she anticipates needing to spend on travel, lodging, and similar expenses in each city. All costs are given in Russian rubles (RUB).
City
Cost (RUB)
Izhevsk
4,721
Novosibirsk
4,870
Nizhny Novgorod
6,920
Moscow
5,485
Chelyabinsk
5,217
Saint Petersburg
5,960
Tolyatti
5,598
Yaroslavl
4,901
Even though Jenny wants to go to each of these cities, her budget is only RUB 33,000, so she recognizes that she must change her itinerary and choose not to visit some cities. Which of the following pairs of cities will not put Jenny back under budget if she drops them?
a.
Moscow and Chelyabinsk
b.
Izhevsk and Nizhny Novgorod
c.
Novosibirsk and Saint Petersburg
d.
Yaroslavl and Tolyatti
THE ANSWER IS D. YAROSLAVI AND TOLYATTI
EXPLANATION: the total of all cities is 43,672. If we subtract 4901 for Yaroslavi and 5598 for Tolyatti we have 33,173 (43,672 - 4901 - 5598 = 33,173). This would still be over Jenny's budget
The correct answer is D hope this helps you.