Answer:
[tex]\$2,966.85[/tex]
Step-by-step explanation:
we know that
The formula to calculate continuously compounded interest is equal to
[tex]A=P(e)^{rt}[/tex]
where
A is the Final Investment Value
P is the Principal amount of money to be invested
r is the rate of interest in decimal
t is Number of Time Periods
e is the mathematical constant number
we have
[tex]t=15\ years\\ P=\$1,000\\ r=0.0725[/tex]
substitute in the formula above
[tex]A=\$1,000(e)^{0.0725*15}=\$2,966.85[/tex]
Final answer:
The total amount for a $1000 investment at 7.25% compounded continuously for 15 years is approximately $2972.70, demonstrating the power of compound interest.
Explanation:
To calculate the total amount from an investment that is compounded continuously, you use the formula for continuous compounding, which is A = Pert, where A is the amount of money accumulated after n years, including interest, P is the principal amount (the initial sum of money), r is the annual interest rate (decimal), t is the time the money is invested for, and e is the base of the natural logarithm, approximately equal to 2.71828.
Substituting our values into this formula we get:
A = 1000 * e0.0725*15
A ≈ 1000 * e1.0875
A ≈ 1000 * 2.9727
A ≈ $2972.70
This result shows us the power of compound interest and highlights starting to save money early in life as a key financial decision.
Find the similarity ratio of the larger triangle to the smaller one.
Answer:
A
Step-by-step explanation:
The base of the larger triangle is twice as large as the smaller one: 6 v 3 --> 6 : 3 --> 2 : 1.
I need help with solving the equation
2x - 5 = x - 7
and i need the steps to solve the problem
2x - 5 = x - 7
First, let's subtract x from both sides:
2x - x - 5 = x - x - 7
x - 5 = -7
Now, let's add 5 to both sides:
x - 5 + 5 = -7 + 5
x = -2
Answer:
x = -2
Step-by-step explanation:
2x - 5 = x - 7
2x - x - 5 = -7
2x - x = -7 + 5
Now we have isolated x
2x - x = 5 - 7
2x - x = -2
x = -2
What is the missing value in the equation shown □ x1/10=0.034
Answer:
0.34
Step-by-step explanation:
Do the inverse operation so;
0.034 / 1/10 = 0.34
Now go back and subsitute,
0.34 * 1/10 = 0.034
In the equation □ x 1/10 = 0.034, the missing value is 0.34 as obtained by isolating □ on one side, i.e., □ = 0.34.
Explanation:The equation presented in the question is □ x 1/10 = 0.034. The missing value is the number that should be multiplied by 1/10 to result in 0.034. To solve for this missing value, we can rearrange the equation using the basic algebraic method. We isolate the missing value (□) on one side by dividing both sides of the equation by 1/10. This results in □ = 0.034 / (1/10), which simplifies further to □ = 0.34. Therefore, the missing value in the equation □ x 1/10 = 0.034 is 0.34.
Learn more about Equation Solving here:https://brainly.com/question/19297665
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Mr Johnson, the store owner, ordered 48 boxes of jawbreakers. Each box contained 392 pieces of candy. How many lawbreakers did Mr. Johnson order?
Answer:
Mr. Johnson would have ordered 18816 jaw breakers.
Step-by-step explanation:
Multiply 392 by 48
Mr. Johnson ordered a total of 18816 jawbreakers by multiplying the number of boxes (48) by the number of pieces of candy per box (392).
The question involves calculating the total number of jawbreakers Mr. Johnson ordered. To do this, we need to multiply the number of boxes ordered by the number of pieces of candy per box.
Step-by-step calculation:
Identify the number of boxes ordered: 48 boxes.
Identify the number of candies per box: 392 pieces.
Multiply the number of boxes by the number of candies per box to find the total: 48 boxes × 392 pieces/box = 18816 jawbreakers.
Therefore, Mr. Johnson ordered a total of 18816 jawbreakers.
the graph of a function never has two diferent points with the same x coordinate because
It is undefined, meaning it will not pass the vertical line test
A bookshop has a sale.
A book normally costing $39.95 is priced at $23.97.
By what percentage has the price been reduced?
please show working out
Answer:
The price been reduced by a percentage of 40%
Step-by-step explanation:
we know that
$39.95 -----> represent the 100%
so
The difference of prices is equal to ($39.95-$23.97)=$15.98
Using proportion
Find the percentage of the difference
100/39.95=x/15.98
x=100*15.98/39.95
x=40%
Answer:
40% is the percentage decreased.
Hope it helped!
Thanks.
From 11:50 a.m. to 12:40 p.m. is
If you’re wondering the minutes in between it would be 50 minutes from 11:50am to 12:40pm
A piece wise function is graphed below. Fill in all of the blanks to give an algebraic description of the function
Answer:
P - 4
Step-by-step explanation:
there are 12 collectors donating a total of 48 paintings.
48/12=4
each collector will donate 4 paintings.
Sergio has (p) paintings now, so after he donates 4 paintings, he will have p-4 paintings in his art collection.
Sergio will have p-4 paintings in his art collection after his donation
Match the expression with its
name.
9x^4-3x+4
A. Quadratic monomial
B. Not a polynomial
C. Cubic binomial
D. Fourth-degree trinomial
Answer:
D. Fourth-degree trinomial
Step-by-step explanation:
I think this would be the correct answer because the highest degree the polynomial is raised to would be 4 (hence the fourth degree). It would be a trinomial because of 9x^4, 3x, and 4
Which matrix is equal to... (picture added)
Answer:
D [tex]\left[\begin{array}{ccc}-6&-6.5&1.7\\-2&-8.5&19.3\end{array}\right][/tex]
Step-by-step explanation:
Two matrices are equal when they
have the same sizes (so options A and B are false)have equal corresponding elements (so option C is false, because -6≠6, -6.5≠6.5, 1.7≠-1.7 and so on)If in option D the second row is 2 -8.5 19.3 , then these matrix is equal to the given.
Answer:
Its D on edge
Step-by-step explanation:
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = x - 16?
Answer: Option C.
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where the slope is "m" and the intersection of the line with the y-axis is "b".
Given the function f(x) in the form [tex]f(x)=x[/tex], you can identify that:
[tex]m=1\\b=0[/tex]
This means that the line passes through the origin (0,0)
And from the function g(x) in the form [tex]g(x)=x-16[/tex], , you can identify that:
[tex]m=1\\b=-16[/tex]
This means that the line of the function g(x) and the line of the function f(x) have the same slope, but the line of g(x) passes through the point (0,-16)
Therefore, the graph of f(x) must be shifted 16 units down to produce the graph of g(x)
Simplify.
2
(8w)
Write your answer without parentheses.
Answer: I believe the answer would be 64w2.
Step-by-step explanation: 8 squared is 8 x 8, which equals 64, and then w squared is just w2, since we don't know what it is. Put them together, and the answer is 64w2.
Hi There!
--------------------------------------
Answer:
64w²
Step-by-step explanation:
= (8w)²
= 8w × 8w
= 64w²
--------------------------------------
Hope This Helps :)
what is 2/5 of 255???
Answer:
102
Step-by-step explanation:
Answer:
102.
Step-by-step explanation:
First, divide 255 by 5 (255÷5=51).
Then multiply the result of 255÷5 by 2 (51×2)
And 51×2=102
Which statement is true?
is not a logarithmic function because the base is greater than 0.
is not a logarithmic function because the base is a square root.
is not a logarithmic function because the base is equal to 1.
is not a logarithmic function because the base is a fraction.
3 is correct , base is never equal to 1 cause all of solves of logarithm will be 0
Answer with explanation:
Consider a Logarithmic Function
[tex]y=\log_{a} b\\\\y=\frac{\log b}{\log a}\\\\ \text{if, a=1,then}\\\\y=\frac{\log b}{\log 1}\\\\y=\frac{\log b}{0}[/tex]
which is not defined.
Also,⇒ a∈(0,∞)≠1.
b> 0, that is, b∈(0,∞)
Option C:
is not a logarithmic function because the base is equal to 1.
Which function results after applying the sequence of transformations to
f(x) = x^5?
• stretch vertically by 3
• translate up 1 unit
• translate left 2 units
Answer:
The resulting function after the sequence of transformations is [tex]f(x)=3(x+2)^5+1[/tex]
Step-by-step explanation:
Given a function f(x)
the function a*f(x) will be a vertical stretch of factor a, given a > 1 the function f(x) + b will be the translated function vertically up b unitsthe function f(x+c) will be horizontally translated function of the original by c units leftRemembering these points, we can apply the rules to [tex]x^5[/tex].
Strech vertically by 3 would be [tex]3x^5[/tex]translate up 1 unit would be [tex]3x^{5}+1[/tex]translate left 2 units would make it [tex]3(x+2)^5+1[/tex]Hence the new function would be [tex]3(x+2)^5+1[/tex]
Answer:
f(x) = 3(x+2)⁵+1
Step-by-step explanation:
Ap3x
The ____ identity is 1.
a) additive
b) multiplicative
c) distributive
I think it’s B) multiplicative
What is the classification for this polynomial 4uv2w2
Answer:
The polynomial 4uv²w² is a monomial, since its a single term.
Degree of polynomial: it is sum of exponent of its variables.
power of u = 1, power of v = 2, power of w = 2
Degree of polynomial: 5
A piece of machinery valued at $250,000 depreciates at 12% per year by the fixed rate method. After how many years will the value have depreciated to 100,000
Answer:
6.7 years (approx)
Step-by-step explanation:
Find the unknown: 4:2:3 = x : 18: 27
Final answer:
To find the unknown values in the given ratios, solve for x by setting up proportions and using cross-multiplication to calculate the missing value.
Explanation:
Find the unknown: 4:2:3 = x : 18: 27
Calculate the ratio of the known values: 4/2 = 2, and 3/2 = 1.5.Set up the proportion: 2 = x/18 and 1.5 = x/27.Solve for x by cross-multiplication: x = 36 for the first ratio and x = 40.5 for the second ratio.If the arithmetic pattern shown continues, what will be the 8th number?
54, 48, 42, 36, ...
Each time, you are subtracting 6 to get to the next term. The 8th term would be 12.
AN
Jamal has 10 sets of collectible coins. Each set has 5 coins. How many collectible coins does Jamal have?
5
10
50
100
Answer:50
Step-by-step explanation:each of the 10 sets have 5 coins basically (10*5) = 50
50
10sets*5coins=50total coins
ILL GIVE BRANLIEST!!!
What value of g makes the equation true? (X+7)(x-4)=x^2+gc-28
Answer:
The left side is not equal to the right side, which means that the given statement is false.
False
Step-by-step explanation:
Answer: g= 3x/c
Not sure if this helps
The total cost of a dress,including tax, was $121.37. If 6% tax was added to the sale price, what was the sale price before taxes?
Answer:
We have
sale price + 6% x sale price = $121.37;
Then
(106/100) x sale price = $121.37;
sale price = $121.37 x 100 / 106;
sale price = $12137 / 106;
sale price = $114.50;
Step-by-step explanation:
To find the sale price of a dress before a 6% tax added up to a total of $121.37, divide the total by 1.06. The original sale price was $114.50.
The student is asking how to calculate the sale price of a dress before tax when the total cost, including a 6% tax, was $121.37. To find the sale price before taxes, you need to divide the total cost by 1 plus the tax rate expressed as a decimal.
First, convert the percentage to a decimal, which gives us 0.06 for a 6% tax. Then, add 1 to the tax rate (1 + 0.06 = 1.06) and divide the total cost by this sum to get the original price:
Sale price = Total cost / (1 + Tax rate)
Sale price = $121.37 / 1.06
Sale price = $114.50 (rounded to the nearest penny)
Therefore, the original sale price of the dress was $114.50.
when is a sequence geometric
I also think its A cause you find the next term when your multiply the constant (common ratio) so it makes sense for it to be A
Answer:
when each term is multipled by the same number to get the next numberStep-by-step explanation:
[tex]\text{A geometric sequence:}\\\\a_1,\ a_2,\ a_3,\ a_4,\ ....\\\\\dfrac{a_2}{a_1}=\dfrac{a_3}{a_2}=\dfrac{a_4}{a_3}=...=\dfrac{a_n}{a_{n-1}}=r=constant\\\\r-\text{common ratio}\\\\a_2=a_1r\\a_3=a_2r\\a_4=a_3r\\\vdots\\a_n=a_{n-1}r\\\\\text{next term is created from the previous one by multiplying it}\\\text{by the same number}[/tex]
Find the slope intercept form of the equation for the line that goes through (3, 5) and is parallel to y=5x - 1.
Answer:
y=5x-10
Step-by-step explanation:
slope intercept form is y=mx+b
since we know it is parallel to y=5x-1, we know that it has the same slope of 5.
So, we plug it in:
y=mx+b
y=5
x=3
(taken from point (3,5))
m=5
(taken from parallel line)
5=(5)(3)+b
5=15+b
b=-10
The equation would be y=5x-10
The ratio of roses to daisies is 8 roses to 6 daisies.
If there are 16 roses, how many daisies are there?
12 Roses since your multiplying by 2
Answer:12
Step-by-step explanation: there are 8 roses and 6 daisies, if 8 turns into 16, that’s multiplied by 2, so you multiply 6 by 2 and get 12,
8 * 6
_ * _
16*X, cross multiply
PLEASE HELP DETAILS ARE BELOW I WILL RATE BRAINIEST CHORD AND ARCS FIND THE MEASURE OF ARC CD DETAILS BELOW
Wouldn’t it be 36.7 because that’s the arch am I right?
Answer:
The measure of arc CD is 114.6°.
Step-by-step explanation:
Let the center of the circle be O and OP is perpendicular to CD at point point P.
The perpendicular line from the center of circle divide each chord in two equal parts. so, CP=DP.
[tex]CP=\frac{CD}{2}=\frac{36.7}{2}=18.35[/tex]
In a right angles triangle,
[tex]\sin\theta =\frac{opposite}{hypotenuse}[/tex]
In a right angles triangle OPC,
[tex]\sin\angle POC =\frac{18.35}{21.8}[/tex]
[tex]\angle POC =\sin^{-1} (\frac{18.35}{21.8})[/tex]
[tex]\angle POC \approx 57.3[/tex]
In triangle OPC and OPD,
[tex]OC=OD[/tex] (Radius)
[tex]OP=OP[/tex] (Reflexive property)
[tex]CP=DP[/tex] (Altitude on chord from center)
By SSS postulate
[tex]\triangle OPC\cong \triangle OPD[/tex]
[tex]\angle POC\cong \angle POD[/tex] (CPCTC)
[tex]\angle POC=\angle POD[/tex]
The measure of angle COD is
[tex]\angle COD=\angle POC+\angle POD[/tex]
[tex]\angle COD=2\angle POC[/tex]
[tex]\angle COD=2(57.3)[/tex]
[tex]\angle COD=114.6[/tex]
Therefore the measure of arc CD is 114.6°.
Based on the graph how many real nunber solutions does x^3+6x^2+8=0 have ?
Answer:
ONE
Step-by-step explanation:
ONE real number solution. The graph intersects the x-axis in only one place.
The truck lot has 274 eighteen wheelers and 89 regular trucks. How many wheels are in the parking lot?
Put a equation please c: thank you
Answer=5288
Step-by-step explanation: I got it know so basically (18*274) + (89*4) which equals 4932+356=5288
Answer:
5288 wheels
Step-by-step explanation:
Wheel count: 18(274) + 89(4) (since regular trucks have 4 wheels)
This comes to 4932 + 356, or 5288 wheels in the lot.
Which expression is equivalent to (-3y-x)-(5y-8x)
A.-8y-8x
B.-8y+7x
C.2y-7x
D.8y+8x
Multiply the negative sign into the second bracket and get rid of both brackets
-3y-x-5y+8x
Collect like terms
-8y+7x
Answer:
B: -8y + 7x
Step-by-step explanation:
Start with (-3y-x)-(5y-8x). This is a subtraction problem. Subtract 5y from -3y, obtaining -8y. Next, subtract -8x from -x; this is equivalent to -x - (-8x), or 7x.
Then the difference -x + 8x = 7x.
Combining the x and y results, we get B: -8y + 7x.