Calculate the balance for a $4,465 deposit in an account with an APR of 3.0% that compounds interest daily that is invested for 5 years?
Express your answer rounded correctly to the nearest cent. Do not include units on your answer.
help hurry
Compound interest formula:
Total = start value x ( 1 + rate/compound rate) ^( compound rate x time)
Total = 4,465(1 + .03/365)^(365x5)
Total = $5,187.56
The balance after 5 years will be $5177 and 10 cents.
How to calculate compound interest?
Compound interest is calculated by following formula:
[tex]A(1+\frac{r}{n})^{nt}[/tex]
Here:
A=principle amount=$4465
r=rate of interest/100=3/100=0.03
n=no. of days interest is applied=365 days
t=time period of interest=5 years
Putting all the values in the formula we get:
[tex]4465(1+0.03/365)^{365*5}=$5177.1[/tex]
Therefore, The amount at the end will be $5177 and 10 cents.
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Pls help me complet this
Answer: The number of times a blue cube will be drawn is 395 times.
Step-by-step explanation: So since the original amount a blue cube got drawn is 79 and they did it 240 times, we can set up a ratio.
79/240 = x/1200
We use 1200 since the question asks us how many times a blue cube will be drawn if they did the experiment 1200 times. To solve x, multiply 1200 and 79 and you get 94,800. Then divide that by 240, which is 395. Therefore it will get drawn 395 times.
Hope this helps.
The arch support of a bridge can be modeled by y=−0.0012x2, where x and y are measured in feet. Find the height and width of the arch.
Answer:
it will be 300 feet tall and 1000 feet wide
Step-by-step explanation:
The height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
What is an exponential function?Exponential function is the function in which the function growth or decay with the power of the independent variable. The curve of the exponential function depends on the value of its variable.
The exponential function with dependent variable y and independent variable x can be written as,
[tex]y=ba^x+c[/tex]
Here, a,b and c are the real numbers.
The arch support of a bridge can be modeled by the following function,
[tex]y=-0.0012x^2+300[/tex]
Here, x and y are measured in feet.
The height and width of the arch has to be found out. First, find the x intercept of the function. As at the x intercept, the y equal to zero. Therefore,
[tex]0=-0.0012x^2+300\\0.0012x^2=300\\x=\sqrt{25000}\\x=500[/tex]
As, the graph is symmetric around the y-axis. Thus, the -500 can also be a solution. Now, the width of the arch can be given as,
[tex]w=500-(-500)\\w=1000\rm ft[/tex]
Now similarly at x equal to zero, the function will be,
[tex]y=300[/tex]
Hence, the height and width of the arch which support of a bridge and modeled by the provided function is 1000 ft and 300 ft long respectively.
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Ashley runs around the following track. How many times must she run around the track in order to run a total distance of 4 km? measurements: 100m and 60m
Answer:
The 100-meter dash is over in a flash, but so much goes on in those 10 ... it and how the top sprinters approach the Olympics' marquee track and field event. ... time of 9.63 seconds, nearly 2.5 seconds faster than Burke ran in 1896. ... The total strides in the 100 range from 40-41 for Bolt to around 50 for the top women.
Step-by-step explanation:
What are 3 digits that equal 24
Answer:
1 x 24, 2 x 12, 3 x 8, and 4 x 6.
Hope this helps
Have a great day
Step-by-step explanation:
Answer:
8+8+8 is the answer give brainliest
Please please help please
Answer:
4 times larger
Step-by-step explanation:
The probability that Scott will win his next tennis match is 3/5
What is the probability that he will not win?
Answer:
the probability that he will not win is 2/5 cause it's just the chance that he doesn't win
Halle el perimetro de las siguientes figuras.
Five less than twice the value of a number is equal to three times the quantity of 4 more than 1/2 the number what is the number let x be the number right and solve an equation to find x show your work.
The value of the number is x = 34.
Let's break down the problem and solve it step by step.
1. "Five less than twice the value of a number": This can be represented as 2x - 5, where x is the number.
2. "Three times the quantity of 4 more than 1/2 the number": This can be represented as 3 * (x/2 + 4).
According to the problem statement, the two expressions are equal. We can set up the equation as follows:
2x - 5 = 3 * (x/2 + 4)
Now, let's solve the equation:
2x - 5 = 3 * (x/2 + 4)
Distribute the 3 to both terms inside the parentheses:
2x - 5 = (3/2)x + 12
Multiply through by 2 to eliminate the fraction:
2(2x - 5) = 2((3/2)x + 12)
4x - 10 = 3x + 24
Next, let's isolate the x term by moving the constant terms to the other side of the equation:
4x - 3x = 24 + 10
Simplify:
x = 34
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PLEASE HELPP Btw letter D. Says 80
Solve the system of equations:
{ x+y=6
y+3x=4
HURRY
Answer:
(-1,7)
Step-by-step explanation:
Equations:
x + y = 6
y + 3x = 4
Slope-Intercept Form:
y = -x + 6
y = -3x + 4
Graph:
Graph them yourself!
(On the graph they intersect at -1,7)
Evaluate the expression:
5(10 + d?) for d=2
Answer:
60
Step-by-step explanation:
this uses the distribution property
first plug in 2 for d
5(10+2)
then distribute the 5 to both numbers in the parentheses
50+10=60
Answer:
The answer is 60
Step-by-step explanation:
First you have to plug in the 2 in place of the variable in the equation. Then add 10+2 first. After you add you will get 12, now you do 5x12 and get 60
Find the mean for the following group of data item 1, 7, 5, 4, 9, 6, 7, 4
Answer:
5.375
Step-by-step explanation:
Please answer this teachers
Answer: What are the options?
What are the options?
Step-by-step explanation:
An eyewitness observes a hit-and-run accident in New York City, where 95% of the cabs are yellow and 5% are blue. A police expert believes the witness is 80% reliable. That is, the witness will correctly identify the color of a cab 80% of the time. If the cab is actually yellow, there is an 80% chance the witness will assert it is yellow, and if the cab is actually blue, there is an 80% chance the witness will assert it is blue. If a witness asserts the cab was blue, what is the probability that the cab actually was blue
Answer:
0.1739 = 17.39% probability that the cab actually was blue
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Witness asserts the cab is blue.
Event B: The cab is blue.
Probability of a witness assessing that a cab is blue.
20% of 95%(yellow cab, witness assesses it is blue).
80% of 5%(blue cab, witness assesses it is blue). So
[tex]P(A) = 0.2*0.95 + 0.8*0.05 = 0.23[/tex]
Probability of being blue and the witness assessing that it is blue.
80% of 5%. So
[tex]P(A \cap B) = 0.8*0.05 = 0.04[/tex]
What is the probability that the cab actually was blue?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.04}{0.23} = 0.1739[/tex]
0.1739 = 17.39% probability that the cab actually was blue
how many quarts of pure antifreeze must be added to 6 quarts of a 40% antifreeze solution to obtain a 60% antifreeze solution
Answer:
3 quarts
Step-by-step explanation:
First, find how many quarts of antifreeze is in the mixture.
0.4 x 6 = 2.4
Now, make it into a fraction by putting the antifreeze amount over the rest so:
2.4/6
Now add + a at the end of the numerator and bottom to make:
2.4 + a/ 6 + a.
Now, turn the percentage you want to strengthen or weaken the mixture into a percentage. So, 3/5.
Now, make it an expression by adding = 3/5 at the end of the equation.
2.4 + a/ 6 + a = 3/5
Now, use cross multiplication.
12 + 5a = 18 + 3a
Now, solve the equation.
12 + 5a = 18 + 3a
-3a. -3a
12 + 2a = 18
-12. -12
2a = 6
/2. /2
a = 3.
Therefore, the answer is 3 quarts.
example of a 400 word essay which choosing a college
helpppppppppppppppppp
Answer:
38º
Step-by-step explanation:
the angles that are across from each other like
the 38º and <6<2 and <4<3 and <5<1 and <7are equal.
So, <6 = 38º (This is also because of the Vertical Angle Theorem / VAT)
Help thank you so much
Answer:
1.c
2.b
3.a
4.d
5.c
Step-by-step explanation:
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A family goes out to dinner, and their bill before tax costs $68. Tax is 7.5%. They give a tip of 20% of the bill, calculated after adding tax. What was the total cost of their dinner, after-tax, and tip?
Answer
87.72
Step-by-step explanation:
7.5% of 68 is 5.1 so 68+5.1=73.1
20% of 73.1=14.62 sooooo 14.62+73.1=87.72
BRAINLIEST FOR CORRECT ANSWER, IM FAILING SCHOOL AND NEED HELP ASAP. EVEN OFFICIAL HELP COUNTS
Answer:
Verifal angles I think but I'm not necessarily sure!!!
HELP ME WITH THIS GRAPH PLSSSSSSS
Answer:
It would be 6 miles per hour
Step-by-step explanation:
the points are right above of 5 so it would have to be 6.
0.1 to the power of 5
I need help!
Answer:
.00001
1*10^-5
Help!!! please please
PLEASE HELP 100 points I’m on a time(there’s a picture) With respect to air safety, in which year between 1966 and 1976 did the lowest number of air fatalities occur, and how
many passengers were killed in that year?
Year:1976,1974,1975
Passengers killed: 552,441,386
Looking at the column for number of passengers killed.
The lowest year was 1975 with 441 killed.
Answer:
1975
441
Step-by-step explanation:
An electrical appliances shop owner estimates that his sales will increase by 5% every
month. The sales for the first month were 30.000. Find
i) the sales for the 10th month.(46539.86)
ii) the total sales for the first year.(477513.80)
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer:
I think it is the first one because its a perfect mirror to the other when rotated 90%.pls tell me if I am wrong :(
Step-by-step explanation:
there are 6 rows of chairs 4 rows are empty
Answer:
then only 2 rows are full
Step-by-step explanation:
im confused but if thats it then thats the answer if im right mark me brainliest
:>
find the distance between (-5 3) and (4 -5)
Answer:
19 or √145 ≈ 12.04
Step-by-step explanation:
Use the distance formula to determine the distance between the two points.
Distance = √ ( x ₂ − x ₁ )² + ( y ₂ − y ₁ ) ²
Substitute the actual values of the points into the distance formula.
√ ( 4 − ( − 5 )) ² + ( ( − 5 ) − 3 ) ²
Simplify:
√ 145
The result can be shown in multiple forms.
Exact Form:
√ 145
Decimal Form:
12.04159457 … ≈ 12.04
Choose all the possible solution that makes the inequality statement True
b6+5≥10
0
30, 31, 32
30, 29, 28
-30, -29, -28
Answer:
Second and third answer
Step-by-step explanation:
Correct :
Second : 30,31,32
this is because it makes it GREATER than 10 and we are looking for equal or greater than 10.
Third : 30 , 29 , 28
Again same reason
Wrong :
First : 0
This is wrong because it would plug in as (0)(6) + 5 ≥10
solve it :
0*6 = 0 so
0+5 ≥10 , so i tis wrong
Last option : -30,-29,-28
This is because multiplying negative with positive number woulf get a negative number. And the adding 5 would make it greater but wont be enough to change it to a positive number equal to or greater than 10.