Answer:
16.52
Step-by-step explanation:
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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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
Subtract. (−2+5i)−(−2+9i) Enter your answer in the box.
Answer:
-4i
Step-by-step explanation:
Answer:
14i
Step-by-step explanation:
(-2+5i)-(-2+9i)
remove () because they are unneeded
-2+51--2+9i
-2+5i+2+9i
0+14i
14i
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
Ken drinks 2/7 of a carton of milk each day. How much milk does drink in 3 days?
"Answer at the bottom"
Answer should be
3x2=6
6/7
Answer:
This answer is correct.
Step-by-step explanation:
Answer:
6/7
Step-by-step explanation:
2 x 3 = 6
1 x 7 = 7
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
What is 57x67÷78
Me will give brainliest
Thx in advance
Answer:
48.9615384615
Step-by-step explanation:
hope this helps!!!
3 examples of proportion in real life ?
Answer:
Proportion of games an NFL team wins.
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
Step-by-step explanation:
Proportion is a relationship between measures.
Examples in real life are:
Proportion of games an NFL team wins.
For example, this past regular season, the Buffalo Bills won 13 games out of 16, so the proportion of games won by the Bills is 13/16 = 0.8125.
Other possible examples are:
Proportion of defective products in a shipment.
Proportion of voters of a certain candidate in an election.
...
There are 20 beads in a bag, of which 8 beads are white, 2 beads are yellow, 6 beads are green, and the rest are blue. Janina will choose one bead from the bag without looking. What are the odds in favor of choosing a white bead?
Answer:
8/20 in simplest form this would be 2/5
Step-by-step explanation:
Answer:
2/5
Step-by-step explanation:
Total of 20 beads
8 are white
8/20 beads = 4/10 = 2/5
I really really need help
Answer:
i have no idea
Step-by-step explanation:
Bella the Chihuahua weighs 5 1/2 pounds. What is Bella's weight in Kilograms?
1) 3x – 2y = 2
y = 2x + 8
alguien que me ayude con esto no lo entendemos gracias
um help me plz!!!!!!!!
Answer:
7
Step-by-step explanation:
substitute x for 3
4(3)+2/2
Use PEMDAS
12+2/2
14/2
Divide
7
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]
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
solve the equation for t. show your work
5(2t - 3) - 7.5t = 0.5(12 - t)
Answer:
t=7
Step-by-step explanation:
10t-15-7.5t=6-0.5t
2.5t-15=6-0.5t
2.5t+0.5t=6+15
3t=21
t=7
t or f i need help with this
Answer:
false 5 is an odd
Answer:
Step-by-step explanation:
false
Figure ABCD is a square. Find the
measure of ZABE.
B
С
A А
D
mZABE = [?]°
Answer:
∠ABE = 45°
Step-by-step explanation:
Since we know that the figure is a square, we know that ∠A, ∠B, ∠C, and ∠D are all 90°.
Assuming that Point E is at the center of the square, the lines will bisect each of the angles above. Half of 90° would be 45°.
∠ABE = 45°.
Find the unit rate. 108 people 12 days people : days = (Type whole numbers or decimals.)
108 people 12 days
the people:days=108:12
BUT this is not simplified of course
We simplify ratios like a fraction.
We can see that both numbers are divisible by 12
So we can do
108÷12/12÷12=9/1 (answer)
To know that both are divisible by 12 isn't hard as long as you are observant and are good with numbers and the divisibility rules of 2 and 3.
Can you help me with the x < 0 part?
Answer:
yes o can help you with it by the end of this
(giving brainiest)
tell how you solved the question
Answer:
Step-by-step explanation:
4000
0.0095 = _________. is percent
Answer:
0.95%
Step-by-step explanation:
hope this helped--
Answer:
9.5 %
Step-by-step explanation:
Mark brainiest if this helped u
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
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 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
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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HELP HELP HELP IM GIVING BRAINLIEST!!!
Answer:
C. 48 squares
Step-by-step explanation:
Brainliest pls
What is the additive inverse of 6x +2?
Answer:
2x+6 or 2 ( 3x + 1 )
Step-by-step explanation:
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
A circle has a central angle of 6 radians that intersects an arc of length 14in