Answer:
5 gehhdjjdehdhuhehhebvebejheu
Zachary invested $700 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $1,360?
Answer:
14
Step-by-step explanation:
The nearest time period for Zachary to reach the amount is 14 years.
What is compound interest?
Compound interest is the interest on a deposit or loan calculated based on the initial principle, and the collective interest from previous periods.
For the given situation,
Principle, [tex]p=\$700[/tex]
Interest rate, [tex]r=4.9\%[/tex][tex]=0.049[/tex]
Amount, [tex]a=\$1360[/tex]
Compounded continuously, [tex]n=1[/tex]
We have to find the time period, [tex]t[/tex]
The amount formula of compound interest, [tex]a=p(1+\frac{r}{n} )^{nt}[/tex]
On substituting the values,
[tex]1360=700(1+\frac{0.049}{1} )^{1t}[/tex]
Divide by [tex]700[/tex] on both sides,
⇒[tex]\frac{1360}{700}=\frac{700}{700} (1+0.049 )^{t}[/tex]
⇒[tex]1.94=(1.049)^{t}[/tex]
Taking log on both sides,
⇒㏒[tex]1.94[/tex]=[tex]t[/tex]㏒[tex]1.049[/tex]
⇒[tex]0.28=0.020t[/tex]
Divide by [tex]0.020[/tex] on both sides,
⇒[tex]\frac{0.28}{0.020}=t[/tex]
⇒[tex]t=14[/tex]
Hence, the time period is 14 years.
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A college basketball player makes 70% of his free throws. At the end of a game, his team is losing by two points. He is fouled attempting a three-point shot and is awarded three free throws. Assuming each free throw is independent, what is the probability that he makes at least two of the free throws?
a. 0.784
b. 0.700
c. 0.216
d. 0.441
Answer:
B.
Step-by-step explanation:
If he makes 70% then 70% as a decimal would be 0.700 which is B
Probability is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
The probability that he makes at least two of the free throws is 0.0700.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head when a coin is tossed is 1/2
We have,
Each free throw is independent of the other.
Percentage of making free throws = 70%
The probability that he makes at least two of the free throws.
= 70%
= 70/100
= 0.07
This can be written as 0.0700.
Thus,
The probability that he makes at least two of the free throws is 0.0700.
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71x - 3) + 3(4 - x) = -8
Answer:
x =-1/4
or
x -0.25
Step-by-step explanation:
Exact Form:
x = − 1/ 4
Decimal Form: x = − 0.25
Select all answer choices that show a correct comparison. A. 1 2 < 1 5 B. 3 5 > 3 10 C. 2 8 < 1 4 D. 5 6 > 2 5 E. 5 10 > 2 5
Answer:
78
Step-by-step explanation:
37-71
2538
37003-221
35303
A squirrel in a tree drops an acorn. how long does it take the acorn to fall 52 feet?
max and min of f(x)=x^2+8x+14
Answer:
(−4,−2)
Step-by-step explanation:
hope this helps
3/500% of a quantity is equal to what fraction of the quantity?
what is the answer??????
Answer:
3/5
Step-by-step explanation:
Given
[tex]\frac{3}{500} \%[/tex]
Required
Represent as fraction
To do this, we simply multiply 3/500 by 100
[tex]\frac{3}{500} \% = \frac{3}{500} * 100[/tex]
[tex]\frac{3}{500} \% = \frac{3}{5}[/tex]
So, the fraction is 3/5
4x^2-4x=3
Plz will mark brainliest!
Answer:
=−1/2
=3/2
Step-by-step explanation:
Answer:
x = -1/2
x = 3/2
Step-by-step explanation:
4x² - 4x = 3
Subtract 3.
4x² - 4x - 3 = 0
Factor by grouping.
(2x + 1)(2x - 3) = 0
2x + 1 = 0
2x - 3 = 0
x = -1/2
x = 3/2
good luck, i hope this helps :)
What is the leading coefficient of this polynomial?
f(x) = 3x2 -
175 + 7x10
Answer here
Answer:
7
Step-by-step explanation:
Because it is the coefficient that has the variable with the greatest exponent
Which is the best way to describe |-2|?
Answer:
The distance between A and D
Step-by-step explanation:
sorry if incorrect
Answer:
[tex]91 + 1 |yx {?}^{2} | [/tex]
if quick will mark brainliest
Answer:
x=15√2
Step-by-step explanation:
15²+15²=c²
225+225=c²
450=c²
√450=c
√9x25x2=c
√9x√25x√2=c
3x5x√2=c
15√2=c
(Or you could use the 45-45-90 rule for triangles to get the same thing).
Which statements are true? Check all that apply.
-EH is parallel to FG.
-EF is perpendicular to EH.
-HG is neither parallel nor perpendicular to FG.
-Quadrilateral EFGH is a rectangle because it is a
parallelogram with four right angles.
-Quadrilateral EFGH is a trapezoid because it has
exactly one pair of parallel opposite sides.
THE ANSWER IS THE 2ND ND 3RD ONE
Answer:
D- Did you already answer it at the bottom?
Also, in order for someone to answer this, we would need an image showing the different line-thingys. (I forget what they are called)
Step-by-step explanation:
Answer:
B, C
Step-by-step explanation:Just did it on edg
HELP HELP HELP IM GIVING BRAINLIEST!!!
Answer:
C. 48 squares
Step-by-step explanation:
Brainliest pls
Bryan has a bag containing 12 red marbles, 8 blue marbles, 5 green marbles and 3 yellow marbles. He will randomly select one marble from the bag. What is the probabillity that Bryan will select a red marble
F. 5/28
G. 3/7
H. 2/7
J. 3/28
Answer:
3/28
Step-by-step explanation:
What is the additive inverse of 6x +2?
Answer:
2x+6 or 2 ( 3x + 1 )
Step-by-step explanation:
70 points!!!!!!!!!!!!
Find the sin, cosine, and tangent of angle A. Give your answers as fractions in simplest forms.
Find BC
AC^2=AB^2+BC^2
20^2=16^2+BC^2
400=256+BC^2
BC=√(400-356)
BC=12
Use SOHCAHTOA
Sine A=12/20=3/5
COS A=16/20 =4/5
TAN A=12/16 =3/4
blank is the exponential form of 3 x 3 x 3 x 3 x 3
Answer:
3⁵
Step-by-step explanation:
Hope it helps you..........
The probability of choosing a green sweet at random from the bag is 1/12.
Please see the picture, I need to answer that question.
Answer:
2 times became that's correct
In ΔABC, the measure of ∠C=90°, the measure of ∠B=15°, and BC = 2.8 feet. Find the length of CA to the nearest tenth of a foot.
Answer:0.8 feet
Step-by-step explanation:got it right
Nia recorded her science and math scores. The measures of center and variation for each score are shown in the table below.
Measures of Center and Variation
for Nia’s Science and Math Scores
Science
Math
Mean
64
58
Median
60
60
Mode
62
62
Range
8
50
Mean Absolute Deviation
2.4
14.4
Which inferences can be made when analyzing the data summary in the table? Select three choices.
Her mean science score is higher than her mean math score.
She prefers science over math.
There is more variation in her math scores.
Her science scores are more spread out than her math scores.
Her median scores are the same for each subject.
Answer:
1, 3, 5
You can tell by looking that her science mean is greater than her math mean.
The higher range number means that her scores in math are more varied and spread out than her science scores.
You can tell by looking that the median scores are the same.
Step-by-step explanation:
Answer:A , C , E
Step-by-step explanation:
i got it from the dude above me
PLS HELP ASAP PLS PLS
Answer:
It should be the third option.
Step-by-step explanation:
The second expression is 2(3x+1)
Just substitute 2 as x.
2(3(2) + 1)
2(6 + 1)
2(7)
14
Since both expressions are equal to 14, both expressions are equivalent.
Can you help me with the x < 0 part?
Answer:
yes o can help you with it by the end of this
The Patterson's are saving up to go on a family vacation in 2 years. They invest $2900 into an account with an annual interest rate of 1.14% compound daily. How much is earned on the investment after 2 years?
The value of Amy's car depreciated each year after she bought it. The function v(t) = 24,893(0.88)^t represents the value of Amy's car t years after she bought it. What is the rate of depreciation?
Answer:
12%
Step-by-step explanation:
Its is correct
Find angle. Picture below
Answer:
x+3x+90=180(sum of angle of triangle)
4x=180-90
x=90/4=22.5
m<T=3×22.5=67.5°
m<v=22.5°
Answer:
Step-by-step explanation:
By angle sum of triangle:
3x+x+90=180
x=22.5
Angle T = 3x=3(22.5)=67.5
Angle V = x = 22.5
Let U = {2, 3, 4, 5, 6, 7, 8}, A = {2, 3, 4, 5}, B = {2, 3, 6, 7}, and C = {4, 6, 8}. List all the members of the given set. (Enter your answers as a comma-separated list.) (A ∪ B) ∩ C
Answer:
(2,3,4,5,6,7)
6
Step-by-step explanation:
I thought I'm wrong ...
Find the diameter of the circle with a circumference of 80 feet. Use 3.14 for pi. Round your answer to the nearest tenth.
12.7 ft
25.5 ft
40.0 ft
50.9 ft
Answer:
Option B = 25.5 ft
Step-by-step explanation:
Circumference = 80 ft
C = 2πr
80 = 2 * (22/7) * r
80 = (44/ 7) * r
So, Radius (r) = 80 * (7/44)
= 12.72 Feet
--> Diameter = 2r = 2 * 12.72
= 25.45 Feet
Therefore, Answer = Option B = 25.5 Feet (Round off)
Carpet is installed in the hallways of a building. The cost of carpet and installation is $32.50 per square yard. A total length of 432.0 feet of carpet 5.0 feet wide is required. What is the total cost of carpet and installation? (Number of square feet = length in feet × width in feet)
Answer:
[tex]Total = \$7800[/tex]
Step-by-step explanation:
Given
[tex]Cost = \$32.50[/tex] per square yard
[tex]Length = 432.0ft[/tex]
[tex]Width = 5.0ft[/tex]
Required
Determine the cost of carpet and installation
First, calculate the area of the carpet
[tex]Area = Length * Width[/tex]
[tex]Area = 432.0ft * 5.0ft[/tex]
[tex]Area = 2160ft^2[/tex]
Convert to square yard
[tex]Area = \frac{2160yd^2}{9}[/tex]
[tex]Area = 240yd^2[/tex]
The cost is then calculated as:
[tex]Total= Area * Unit\ Cost[/tex]
[tex]Total = 240 * \$32.50[/tex]
[tex]Total = \$7800[/tex]
Chrissy buys a pack of candy and eats 2 pieces per day. Find how many she eats in two weeks
Answer:
In two weeks she eats 28 pieces
Step-by-step explanation
Lets say she ate one per day, if its asking you how many you ate in two weeks, that would be 14 candies. But if she ate 2 per day all you have to do is add 14+14 to find out how many she ate in two weeks.
Answer:28 candies
Step-by-step explanation:
So Chrissy eats 2 each day and we need to find how many candies she eats in two weeks also in weeks there is 7 days plus another week would be 14 basically convert the 2 weeks into days (7+7).Now we need multiply since she eats 2 each day how many candies she eats in two weeks also in week so 2 x 14 =28
Verified answer!Therefore,she eats 28 candies in 2 weeks
Please help I’m really stuck on this
Answer:
120
Step-by-step explanation:
Above 44 years ----> 45 to 84.
44 - 64 range 70 are there
65 to 84 range 50 are there
Totally 70 + 50 = 120
120 residents
