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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3x-4 3x-8 solve for x
Answer:
32
Step-by-step explanation:
(3x-4)+(3x-8)=180
6x-12=180
6x=192
X=32
Applying the concept of supplementary angles the value of x we get is 32.
Use the concept of supplementary angles defined as:
The pair of angles known as supplementary angles always add up to 180 degrees. The definition of the term "supplementary" is "something supplied to complete a thing." These two perspectives are therefore referred to be complements of one another.
The given angles are:
Exterior angle = 3x - 4
Interior angle = 3x-8
From the figure, we can see that,
These angles are supplementary angles.
And since we know two angles are supplementary angles then,
Their sum = 180 degrees.
Therefore,
3x - 4 + 3x-8 = 180
6x - 12 = 180
Add 12 both sides are,
6x = 192
Divide by 6 on both sides,
x = 32
Hence,
The value of x is 32.
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A stationery store wants to estimate the mean retail value of greeting cards that it has in its inventory. A random sample of 15 greeting cards indicates an average value of $3.00 and a s of $0.40. The critical value for a 99% confidence interval is
Answer:
The critical value for a 99% confidence interval is T = 2.9768
Step-by-step explanation:
We have the standard deviation of the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 15 - 1 = 14
Critical value
Now, we have to find a value of T, which is found looking at the t table, with 14 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.9768
The critical value for a 99% confidence interval is T = 2.9768
help me please!!!
solve a quadratic equation by factoring
solve for g.
g^2-24g+144=0
9514 1404 393
Answer:
g = 12
Step-by-step explanation:
You recognize that 144 is 12², so you check to see if the x-coefficient is 2·12. It is. The quadratic is a square:
(g -12)² = 0
The only solution is the one that makes the squared term equal to zero:
g -12 = 0
g = 12
_____
The square of a binomial is ...
(a +b)² = a² +2ab +b²
Here, we have a=x, b=-12.
Find the measure of <4.
{
44
158°
{
44 = [?]
Answer:
<4 = 22
Step-by-step explanation:
<4 = x
x + 158 = 180
x = 22
Same side interior angles are supplementary
<4+158=180<4=180-158<4=22°c. Translate the follom
4.) 51 - (x+5)
5.) 3(7-8)
Step-by-step explanation:
1. 51-x-5
= 46-x Answer
2. 21-24
= -3 Answer
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
3. If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.
Answer:
retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.
Step-by-step explanation:
Santiago tiene 3 años más que su Prima Daniela y la suma de sus edades es 25. Que
edad tiene Daniela
Daniela is 11 years old.
How old is Daniela, Santiago's cousin?An equation means the formula that expresses the equality of two expressions by connecting them with the equals sign =.
Let us assume Daniela's age as x.
According to the given information, Santiago is 3 years older than Daniela, so Santiago's age would be x + 3.
The sum of their ages is 25.
We will set up the equation:
x + (x + 3) = 25.
Simplifying the equation, we get:
2x + 3 = 25.
2x = 22.
x = 22/2
x = 11.
Translated question:
Santiago is 3 years older than his cousin Daniela and the sum of their ages is 25. How old is Daniela?
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What is the equation SA=B+1/2Pl used for
Answer:
To find the surface area of a pyramid
Step-by-step explanation:
The equation is used to find the surface area of a pyramid.
Which table shows proportional relationship between x and y?
Answer:
C
Step-by-step explanation:
For a relationship to be proportional, x/y needs to be the same for all rows.
5/8 is not 12/15
5/3 is not 15/11
3/8 is not 5/12.
The table C checks out with a ratio of 3:5
What is the ratio of 24 volts to 3 volts?
Answer:
8 : 1
Step-by-step explanation:
24 volts : 3 volts
= 24 : 3
= 24 / 3
= 8
= 8 / 1
= 8 : 1
The ratio of 24 volts to 3 volts 8 : 1.
We have given that,
The ratio of 24 volts to 3 volts
What is the ratio?
The quantitative relation between two amounts showing the number of times one value contains or is contained within the other.
24 volts : 3 volts
= 24 : 3
= 24 / 3
= 8
= 8 / 1
= 8 : 1
Therefore, The ratio of 24 volts to 3 volts 8 : 1.
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Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
Find the measure of _PUQ.
49
52
369
U
41
43
53
499
Answer:
43 is the answer ok I hope you helped
what is the answer to these questions?
40 pts!
Find the area of the purple sector of the circle with a given radius of 5 units.
Use pi = 3.14 and round to the nearest hundredth.
Answer:
13.08
Step-by-step explanation:
First find the area of the circle
A = pi r^2
A = 3.14 * 5^2
A =3.14 *25
A =78.5
The angle of the purple sector is 60 degrees
A full circle is 360 degrees
The fraction of the circle that is purple is 60/360 = 1/6
Multiply the area of the circle by 1/6
1/6* 78.5 =13.0833333
Rounding to the nearest hundredth
13.08
Answer:
given
radius [r]=5units
area of purple sector :=60/360×πr²=1/6×π×5²=13.08unit squared
What property does the following expression demonstrate? 9(3x) = (9x3)x
Answer: x=0,\root(3)(3)
Step-by-step explanation: Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Brainliest or a thank you please? :))
9514 1404 393
Answer:
associative property of multiplication
Step-by-step explanation:
We assume your equation is ...
9(3x) = (9·3)x
The parentheses have moved to a different portion of the product. This is allowed by the associative property of multiplication. It lets you associate parts of the product any way you like.
_____
Additional comment
It is not a good idea to use "x" to indicate multiplication in an expression in which "x" is a variable. There are many other ways to indicate multiplication, including using the "times" symbol (×).
What is -4^2 equal to?
Answer:
-16
Step-by-step explanation:
Negative four to the second power is equal to -4 x -4 which is -16
how does physical activity improve school achievement
Answer:
Cardiorespiratory capacity, muscular strength and motor capacity have an impact on school performance. Better breathing encourages communication between cells and motor skills help improve concentration.
Help me to find the surface area pls :( :(
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
Select the function that's represented in the graph
Answer: y = x^2 - 3
y-intercept = -3
Hudson is going to invest $320 and leave it in an account for 9 years. Assuming the
interest is compounded monthly, what interest rate, to the nearest tenth of a percent,
would be required in order for Hudson to end up with $540?
Answer:
5.8
Step-by-step explanation:
The interest rate, to the nearest tenth of a percent, will be 0.05828.
How do you determine the amount of compound interest?If the principal amount is P, the interest rate is R percent per unit time, and the compound interest is left for T units of time, the interest amount gained is:
[tex]\rm CI = P\left(1 +\dfrac{R}{100}\right)^T - P[/tex]
The total is:
[tex]\rm A = CI + PA = P(1 +\dfrac{R}{ 100})T[/tex]
The amount is found as;
[tex]\rm A = P(1+\frac{r}{n})^{nt}\\\\ 540=320 (1+\frac{r}{12} )^{12\times 9}\\\\ (1+\frac{r}{12})^{108}=\frac{540}{320}\\\\ 1+\frac{r}{12}=(\frac{540}{320})^{\frac{14}{108}[/tex]
[tex]\rm 1+ \frac{r}{12}=1.00486\\\\ \frac{r}{12}=0.00486\\\\ r=12 \times 0.0486 \\\\ r=0.05828[/tex]
Hence, the interest rate, to the nearest tenth of a percent, will be 0.05828.
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Select all the expressions that are equivalent to 16x + 36
16(x + 20)
x(16 + 36)
4(4x + 9)
2(8x + 18)
2(8x + 36)
Answer:
2(8x+18)
multiply the values in the bracket with 2
2×8x=16x
2×18=36
16x + 36
Answer: 2(8x+18) ,4(4x+9)
Step-by-step explanation:
16 x+36 =4(4x+9)=2(8x+18)
I need help with these problem
9514 1404 393
Answer:
97,264.64 yd²
Step-by-step explanation:
The circumference of a sphere is the circumference of a circle with the same radius:
C = 2πr
The area of a sphere is given by the formula ...
A = 4πr²
In terms of circumference, that is ...
A = 4π(C/(2π))² = C²/π
Using the given values, the area of the sphere is ...
A = (552.64 yd)²/3.14 = 97,264.64 yd²
Answer:
97, 264.64 yd²Step-by-step explanation:
The circumference of a sphere is the circumference of the circle with the same radius:
C= 2πr
The area of a sphere is given by the formula...
A= 4πr²
In terms of circumference, that is...
A= 4π(C/(2π))²=C²/π
Using the given values, the area of the sphere is ...
A= (552.64 yd)²/3.14= 97, 264.64 yd²
Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answer:
37
Step-by-step explanation:
PLEASE HELP ME!!!!!.........
Answer:
C.
Step-by-step explanation:
Trust me.
Complete the equation to show how to use the distributive property to express the sum of 30 + 45
with a greatest common factor
30 + 45 = ____ ( ____ + ____ )
Answers
15(2 + 3)
5(6 + 9)
75
1,350
Chloe flips a fair coin 2 times. What is the probability that she will flip tails both times?
Answer:
25%
Step-by-step explanation:
If you flip a coin twice, sometimes you get tails twice in a row. That is because each time you flip the coin, the odds remain 1/2; the two flips are independent of each other. The odds of getting tails twice in a row are 1/2 * 1/2 = 1/4. So 25% of the time you'll get heads twice in a row
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answer:
44
Step-by-step explanation:
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer: 3.1
Step-by-step explanation:
Answer:
i agree!!
Step-by-step explanation:
which ordered pair names the point P?
Answer:
c
Step-by-step explanation:
Answer:
A
Step-by-step explanation: