Answers
value = 45 x (1+0.015)^15
45 x 1.015^15=
45 * 1.25 = 56.26
answer is B $56.26
Related Questions
What is the monthly payment for $280000 mortgage with an interest of 6% compounded monthly for 20 years?
Answers
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value 280000
PMT monthly payment?
R interest rate 0.06
K compounded monthly 12
N time 20 years
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]
PMT=280,000÷((1−(1+0.06÷12)^(
−12×20))÷(0.06÷12))
=2,006.01
In what direction and by how many units is the graph of f(x) = 6 sin(2x + π) − 5 vertically and horizontally shifted?
Down 5, left pi over 2
Up 5, left pi over 2
Down 5, right pi over 2
Up 5, right pi over 2
Answers
goodluck! :-)
Answer:
Option 1 is correct.
Step-by-step explanation:
Given graph of f(x)=6 sin(2x + π) - 5
we have to tell in what direction the graph vertically and horizontally shifted.
As, f(x+1) is a change on the inside of function, giving a horizontal shift left by 1, and the subtraction by 3 in f(x+1)-3 is a change to the outside of function, giving a vertical shift down by 3.
Hence, the graph of f(x)=6sin(2x + π) - 5
Here, change on the inside of function, giving a horizontal shift left by [tex]\frac{\pi}{2}[/tex], and subtraction by 5 in function is a change to the outside of function, giving a vertical shift down by 5.
Option 1 is correct.
Write the event as set of outcomes. We flip three coins and obtain more tails than heads.
Answers
H H T
H T H
T H H
T T T 1
T T H 2
T H T 3
H T T 4
----------
please simplify 9/3-2i.
Answers
Multiply by 3+2i/3+2i
combine: 9(3+2i)/(3−2i)(3+2i)
foil: 9(3+2i)/3⋅3+3(2i)−2i⋅3−2i(2i)
simplify: 9(3+2i)/9−4i^2
9(3+2i)/9+4
9(3+2i)/13
27+18i/13
Divide each term in the numerator by the denominator.
27/13+18i/13 = answer
the sum of two numbers is 15 one number is twice as large as the second number what are the tw numbers which let statement would you use
Answers
x +2x =15
3x=15
x=15/3
x=5
2x=2*5=10
10+5=15
the two numbers are 5 & 10
Branliest and alot of points who answers first
The chart on a cereal box shows that one serving contains 32% of the rda for dietary fiber the rda for dietary fiber is 25 grams write in the box on the chart the number of grams of dietary fiber in one serving
Answers
What is the sum of the integers between the square root of 12 and 40?
Answers
the closest perfect squares of 12 are 9 and 16,
that is 9<12<16
so
[tex] \sqrt{9}\ \textless \ \sqrt{12}\ \textless \ \sqrt{16} [/tex]
[tex]3\ \textless \ \sqrt{12}\ \textless 4[/tex]
this means, [tex]\sqrt{12}[/tex] is 3 point something...
2.
similarly
36<40<49
so
[tex] \sqrt{36}\ \textless \ \sqrt{40}\ \textless \ \sqrt{49} [/tex]
[tex]6\ \textless \ \sqrt{40}\ \textless \ 7[/tex]
which means [tex] \sqrt{40}[/tex] is 6 point something...
3.
the sum of the integers between the square root of 12 and 40 is the sum of 4, 5 and 6, since 4 is the smallest integer after root 12, and 6 the greatest integer to before root of 40.
Answer: 15
Complete the equation of variation where y varies inversely as x and y = 0.125 when x = 8.
Answers
when x=8
Which of the following show the factored equivalent of f(x) = (2x2 +7x + 3)(x - 3) and its zeros?
f(x) = (x + 5)(x + 7)(x - 3); -5, -7, 3
f(x) = (x + 3)(2x + 1)(x - 3); -3, -0.5, 3
f(x) = (x + 5)(x + 7)(x - 3); 5, 7, -3
f(x) = (x + 3)(2x + 1)(x - 3); 3, 0.5, -3
Answers
Final answer:
The factored equivalent of [tex]f(x) = (2x^2 +7x + 3)(x - 3)[/tex] is f(x) = (x + 3)(2x + 1)(x - 3), and its zeros are -3, -0.5, and 3.
Explanation:
The factored equivalent of the polynomial f(x) = (2x2 +7x + 3)(x - 3) and its zeros can be determined by factoring [tex]2x^2 + 7x + 3[/tex]. We notice that this quadratic can be factored into (2x + 1)(x + 3). Therefore, when we include the (x - 3) term, we get the fully factored form,
f(x) = (2x + 1)(x + 3)(x - 3). To find the zeros, we set each factor equal to zero:
2x + 1 = 0 gives a zero of -0.5;
x + 3 = 0 gives a zero of -3; and,
x - 3 = 0 gives a zero of 3. Thus, the correct answer is
f(x) = (x + 3)(2x + 1)(x - 3); -3, -0.5, 3.
if g (x)= x^2-5, where does the graph g (x) cross the x-axis?
Answers
x^2 - 5 = 0
x^2 = 5
x = sqrt5 or -sqrt5
so grapg corosses the x axis at (-sqrt5,0) and (sqrt5, 0)
The measure of an angle's supplement is 24 less than twice the measure of the angle. Find the measure of the angle and its supplement
Answers
Let one angle be x.
Thus, the other angle = 2x -24
x + 2x - 24 = 180
3x = 204
x = 68
2x -24 = 136 - 24 = 112
Thus, the angles are 68° and 112°
Melissa is making clothes for her dolls she has 7/8 yard of fabric each doll shirts require 2/7 of a yard of fabric. how many shirts can she make for each dolls.
Answers
7/8 / 2/7 =
7/8 * 7/2 = 49/16 = 3 1/16
she can make 3 shirts
Plz help! which expressions are equivalent to 1.06^3t
Answers
[tex]\bf 1.06^3\cdot 1.06^t\implies 1.06^{3+t}\\\\ -------------------------------\\\\ \cfrac{1.06^{9t}}{1.06^{3t}}\implies \cfrac{1.06^{9t}}{1}\cdot \cfrac{1}{1.06^{3t}}\implies 1.06^{9t}\cdot 1.06^{-3t}\implies 1.06^{6t}[/tex]
Simplify the expression please
Answers
now.. not sure if that's really simplified per se, I guess is a little.
you could also just take some "b" from the root and rationalize the denominator and end up with [tex]\bf \cfrac{b^2\sqrt[16]{a^{11}b^8}}{a}[/tex]
then again, not sure how simplified per se that one is either.
According to the Fundamental Theorem of Algebra, how many roots exist for the polynomial function?
(9x + 7)(4x + 1)(3x + 4) = 0
Answers
The polynomial function f(x)=(9x + 7)(4x + 1)(3x + 4) is a third degree polynomial, expressed in factored form.
f has 3 linear (first degree) factors, so 3 roots, which are -7/9, -1/4 and -4/3.
Answer: 3 roots
Answer:
3
Step-by-step explanation:
The length of time to complete a door assembly on an automobile factory assembly line is normally distributed with a mean of 6.7 minutes and a standard deviation of 2.2 minutes. for a door selected at random, what is the probability the assembly time will be:
a.5 minutes or less?
b.10 minutes or more?
c.between 5 and 10 minutes?
Answers
Question a)
We have
X = 5 minutes
The mean, μ = 6.7 minutes
Standard deviation, σ = 2.2 minutes
z-score = (X - μ) / σ = (5 - 6.7) / 2.2 = -0.77
We want to find the probability of z < -0.77 so we read the z-table for the value of z on the left of -0.77 we have the probability P(z< -0.77) = 0.2206
The table is attached in picture 1 below
The probability of assembly time less than 5 minutes is 0.2206 = 22.06%
Question b)
z-score = (10-5) / 2.2 = 2.27
Reading the z-table for P(z<2.27) = 0.9884
The table reading is shown in the second picture below
The probability the assembly time will be less than 10 minutes is 0.9884
We can use this information to find the probability of the assembly time will be more than 10 minutes = 1 - 0.9884 = 0.0116 = 1.16%
Question c)
The value of z between 5 minutes and 10 minutes is
P(-0.77<z<2.27) = P(z<2.27) - P(z< -0.77)
P(-0.77<z<2.27) = 0.9884 - 0.2206 = 0.7678 = 76.78%
Someone please help, I'm stuck!
From the table below, determine whether the data shows an exponential function. Explain why or why not.
x: 3, 1, -1, -3
y: 1, 2, 3, 4
(A) No; the domain values are at regular intervals and the range values have a common sum 1.
(B) No; the domain values are not at regular intervals.
(C) Yes; the domain values are at regular intervals and the range values have a common factor 2.
(D) Yes; the domain values are at regular intervals and the range values have a common sum 1.
Answers
In terms of the context of your answer choices, the final answer is choice A. The domain values are at regular intervals (in this case 2) while the range values increment by the same value as well (1 in this case).
The perimeter of a rectangular slab of concrete is 24 meters. If the length of the
rectangular slab is 2 meters longer than its width, what is the width of the slab?
Answers:
A) 5 meters
B) 6 meters
C) 7 meters
D) 8 meters
The answer is 5 meters but i don't know how to get that. HELP
Answers
also as length = width + 2 we can write the equation L = W+2
now replace the L in the first equation by W+2, we get:-
2(W+2) + 2W = 24
solve for W:-
2W + 4 + 2W = 24
4W = 24-4 = 20
W = 20/4 = 5
width = 5 meters.
The width of the slab is 5 meters which is correct option(A).
What is perimeter of rectangle?Perimeter of rectangle is defined as addition the lengths of the rectangle's four sides.
Let length of slab is L, width is W,
The perimeter of a rectangular slab = 24
2(length) + 2(width) = 2L + 2W = 24
If the length of the rectangular slab is 2 meters longer than its width
= width + 2
So, the equation L = W+2
Now substitute, L= W+2 in equatioin of perimeter,
2(W+2) + 2W = 24
2W + 4 + 2W = 24
4W = 24-4 = 20
W = 20/4 = 5
W = 5
Hence, the width of the slab is 5 meters.
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I don't know how to do this
Answers
x = 9, y = 5(9) -3 = 42 -> Yes
x = -2, y = 5(-2) - 3 = -13 -> Yes
x = -8, y = 5(-8) - 3 = -43 -> No
x = 2, y = 5(2) - 3 = 7 -> No Hope it helped!
(06.02 MC)
A group of students plotted the number of hours they worked at a cake shop during the holidays and the number of cakes they delivered in a week
Which statement best describes the relationship between the number of hours spent working at the cake shop and the number of cakes delivered?
Greater hours worked, more cakes delivered
Fewer hours worked, more cakes delivered
Greater hours worked, fewer cakes delivered
There is no relationship between hours spent working and number of cakes delivered.
Answers
So your answer is
Greater hours worked, more cakes delivered
How many different sums can be made with a penny nickel dime quarter?
Answers
2 coins is 4*3 ways
3 coins is 4*3*2 ways
4 coins is 4*3*2*1 ways
so total is 4+12+24+24=64 sums
Use the remainder theorem to determine the remainder when d4 + 2d2 + 5d − 10 is divided by d + 4. A. 42 B. 258 C. 126 D. 106
Answers
Answer: The correct option is (B) 258.
Step-by-step explanation: We are give to use the remainder theorem to determine the remainder when
[tex]d^4+2d^2+5d-10[/tex] is divided by [tex]d+4.[/tex]
Remainder Theorem : If p(x) is a polynomial in x and a is any real number, then the remainder when p(x) is divided by (x - a) is p(a).
For the given division, we have
[tex]p(d)=d^4+2d^2+5d-10\\\\d-a=d+4~~~~~\Rightarrow a=-4.[/tex]
Therefore, the remainder when p(d) is divided by (d + 4) is given by
[tex]p(-4)\\\\=(-4)^4+2\times (-4)^2+5\times(-4)-10\\\\=256+32-20-10\\\\=288-30\\\\=258.[/tex]
Thus, the required remainder is 258.
Option (B) is CORRECT.
Are the two functions parallel, perpendicular, the same equation, or none of these choices? -x-3y= -18 9x-3y= -27
Answers
-x-3y=-18 => -3y = -18+x => y= 6 - 1/3 x
9x-3y=-27 -> -3y = -27-9x => y= 9 + 3 x
Just comparing the slopes, you see they are -1/3 and 3, which are each other's negative reciprokes. Negative reciprocal slopes are perpendicular.
Which method of reasoning reaches a general conclusion on the basis of a number of observations that form a pattern?
deductive reasoning
inductive reasoning
complementary reasoning
supplementary reasoning
Answers
Answer:
Deductive reasoningStep-by-step explanation:
Deductive reasoning can be defined as the process of reasoning based on premises to reach a specific conclusion.
So, in this case, the statement indicate a method of reasoning based on a number of observations that can lead to a conclusion. That's just deductive reasoning, because those number of observations form the system of premises, from which a deductive logic is developed to get to the conclusion.
Therefore, the right answer is the first choicem, deductive reasoning.
What is the differnce between union and intersection in math
Answers
Final answer:
Union and intersection are two operations used in set theory to combine sets or find common elements.
Explanation:
Union and intersection are two operations used in set theory. In mathematics, a set is a collection of distinct objects. The union of two sets A and B, denoted by A ∪ B, is the set that contains all the elements that are in either A or B or in both. The intersection of two sets A and B, denoted by A ∩ B, is the set that contains all the elements that are common to both A and B.
For example, let's consider two sets: A = {1, 2, 3} and B = {2, 3, 4}. The union of A and B is {1, 2, 3, 4}, as it contains all the elements from both sets. The intersection of A and B is {2, 3}, as those are the elements that are common to both sets.
Sally has 5 red flags, 3 green flags, and 4 white flags. how many 12-flag signals can she run up a flag pole
Answers
To solve for the total number of 12 – flag signals Sally can make, we need to make use of the formula:
total flags = d! / (a! b! c!)
Where,
d = is the number of flags to create a signal = 12
a = number of red flags = 5
b = number of green flags = 3
c = number of white flags = 4
We can observe from the equation that the individual number of flags is factored out (or divided from) that is because all the 5 red flags are similar, all the 3 flags are similar and all 4 flags are similar.
Going back into the equation, by substituting and calculating:
total flags = 12! / (5! 3! 4!)
total flags = 27,720
Therefore there are about 27,720 different 12-flags signals.
Let r=1+2i and s=3+3i find r⋅s
Answers
This problem can be written as (1 + 2i)(3+ 3i). Just like with any binomial, you can use FOIL to multiply this out.
F: 1 x 3 = 3
O: 1 x 3i = 3i
I = 2i x 3 = 6i
L = 2i x 3i = 6i^2
When strung together, you get 3 + 3i + 6i + 6i^2, which simplifies to 3 + 9i + 6i^2. i^2 = -1, since i = √-1. 6 x -1 = -6.
3 + 9i - 6 = -3 + 9i.
The product of r.s is -3+9i.
r = 1+2i ; s = 3+3i
Product of r and s to be determine.
Any number with representation as a+bi is complex number.
Here,
r.s = (1+2i)(3+3i)
= 3+6i+3i+6i²
= 3+ 9i + 6(-1) (∵ i²=-1)
= 3 - 6 +9i
= -3 + 9i
Thus, the product of r.s is -3+9i.
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Tiana takes 3 hours to drive to the coast without stopping. How many minutes will it take her to reach the coast if she stops to ready for 20 minutes
Answers
60 minutes in an hour
3 x 60 = 180 minutes
180 +20 = 200 minutes total
(05.01 LC)
The graph shows the number of sprays an automatic air freshener dispenses, y, in x minutes
Which expression can be used to calculate the rate per minute at which the air freshener dispenses sprays?
fraction 30 over 2
fraction 2 over 30
fraction 30 over 8
fraction 8 over 30
Answers
the first dot is on 2 for number of sprays and 30 for time
so the expression would be number of sprays over time so 2 over 30
2/30 that would reduce to 1/15 meaning each spray happens every 15 minutes
In this exercise we have to interpret the reported graph of an increasing linear function, we find that:
Letter B
Recalling the concepts of an increasing linear function as:
Linear functions happen those whose diagram is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function bear individual independent changing and individual dependent changeable. The independent changeable is x and the helpless changing happen y.With this explanation we have:
Expression would be number of sprays over time so 2 over 30, will be equal to:
[tex]30/2=15[/tex]
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Choose the correct simplification of (5x3 − 5x − 8) + (2x3 + 4x + 2).
Answers
7x^3-x-6
Answer:
7x^3+x+6
Step-by-step explanation:
Its answer choice A on a test.