Answer:
But the answer is 42
I did I got 42 .
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Betty received $ 500,000 from a life insurance policy to be distributed to her as an annuity certain in 10 equal annual installments with the first payment made immediately. On the day she receives her third payment, she is offered a monthly perpetuity of X in lieu of the future annual payments. The first payment will be made in exactly one month. The effective annual rate of interest is 8 %. Determine the value of X.
9514 1404 393
Answer:
annual payment: $68,995.13monthly payment in perpetuity: X = $2394.76Step-by-step explanation:
a) For payments made at the beginning of the period, the annuity is called an "annuity due." The formula in the first attachment tells how to compute the payment for a given present value ($500,000), number of periods (N=10), and interest rate (i=0.08).
pmt = $500,000/(1 +(1 -(1 +i)^(-N+1))/i) = $500,000/(1 +(1 -(1.08^-9))/.08)
pmt ≈ $68,995.13 . . . . annual payment
__
b) After the first payment, the account balance is ...
$500,000 -68,995.13 = $431,004.87
After subsequent payments, the account balance will be ...
$431,004.87×1.08 -68,995.13 = $396,490.13 . . . after 2nd payment
$396,490.13×1.08 -68,995.13 = $359,214.21 . . . after 3rd payment
The payment amount that can be made in perpetuity is the amount of the monthly interest on this balance:
X = $359,214.21 × (0.08/12) = $2394.76
If you have time plz help me
Answer:
option 2 4x²- 8x -4 ghhhhhhhhhhj8
Solve for x. 5x/7 - 5 = 50
Answer:
solution,
5x/7-5=50
5x-35=50
5x=50-35
5x=15
x=15/5
x=3.
Answer:
x = 77
Step-by-step explanation:
Solve for x:
5x/7 - 5 = 50
5x/7 -5 (+5) = 50 (+5)
5x/7 = 55
5x/7 (*7) = 55 (*7)
5x = 385
5x (÷5) = 385 (÷5)
x = 77
According to the scale drawing, how wide will the actual patio be?
m
Garden
Patio
7 cm
Scale 1 cm: 2 m
The width of the actual garden patio according to the scale drawing is 14 meters.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
Given the scale of 1 cm : 2 m
For a patio of 7 cm, then:
Actual patio = 7 cm / (1 cm/ 2m) = 14 m
The width of the actual garden patio according to the scale drawing is 14 meters.
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Find the measure for rus
Answer:
90
Step-by-step explanation:
39+23+28=90
180-90=90
P v ~Q => Q
Construct truth table
Please need it ASAP
p … q … ¬q … p ∨ ¬q … (p ∨ ¬q) ⇒ q
T … T … F … T … T
T … F … T … T … F
F … T … F … F … T
F … F … T … T … F
Start with the first two columns, taking every possible pair of True/False for p and q.
¬q is just the negation of q, so True becomes False and False becomes True.
p ∨ q is the logical disjunction, or logical "or". It's True if either p or q is True, and False otherwise. So p ∨ ¬q is True only if either p or ¬q is True.
p ⇒ q is the logical implication. It's True only when both p and q are True, or when p is False. So (p ∨ ¬q) ⇒ q is True when both p ∨ ¬q and q are True, or when p ∨ ¬q is False.
There are 10 friends who are trying to play and beat the video game, Breath of the Wild. There are 76 side quests in this game. Some of them think that side quests are important, and some do not. The number of side quests completed by the ten friends are as follows:
25, 28, 29, 30, 34, 35, 35, 37, 38
Required:
Find the 5 Number Summary.
Answer:
2; 28.5 ; 34 ; 36 ; 38
Step-by-step explanation:
Given the data:
X = 25, 28, 29, 30, 34, 35, 35, 37, 38
n = 9
Values have been arranged in ascending order ;
The 5 number summary :
Maximum value : highest data value in the list = 38
Minimum value : Lowest data value in the list = 25
The lower quartile ; Q1 = 1/4(n+1)th term
Q1 = 1/4(10) th term = 2.5th term
Q1 = (2nd + 3rd) / 2 = (28+29)/2 = 28.5
Q2 = 1/2(n+1)th term
Q2 = 1/2(10) th term = 5th term
Q2 = 34
Q3 = 3/4(n+1)th term
Q3 = 3/4(10) th term = 7.5th term
Q3 = (7th + 8th) / 2 = (35+37)/2 = 36
Maximum value = 38 (highest data value in the list)
Need help on this one someone plz help!
Step-by-step explanation:
This is a translation (x + 5, y + 2).
I need help i don't get it !!!!!
Answer:
4
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 30 = x/8
8 sin 30 =x
8 (1/2) = x
4
Answer:
The answet is A. 4
Step-by-step explanation:
NO LINKS OR ANSWERING QUESTIONS YOU DON'T KNOW!!! THIS IS NOT A TEST OR AN ASSESSMENT!! Please help me with these math questions. Chapter 14 part 2
3. What are two ways that a vector can be represented?
4. While playing basketball, Sofia takes notes of the extreme vectors for which she bats. What is the angle between her two extreme bats? Extreme: <-8, 12>
Extreme 2: <13, 15> SHOW YOUR WORK!!!!
Answer:
See below
Step-by-step explanation:
3. What are two ways that a vector can be represented?
Considering a vector [tex]\vec{v}[/tex] in some vector space [tex]\mathbb R^n[/tex] we have
[tex]\vec{v} = \langle a,b\rangle[/tex]
This is the component form. I don't like that way. It is probably used in high school, but
[tex]\vec{v} = \begin{pmatrix} a\\ b\\ \end{pmatrix}[/tex]
is preferable because the inner product on [tex]\mathbb R^n[/tex] is defined to be
[tex]$\langle a,b\rangle := \sum_{i = 1}^n a_i b_i$[/tex]
You can also write it using linear form such as [tex]\vec{v} = 2i+2j[/tex]
4.
For this question, I think you meant
vectors
[tex]\vec{u_1} = (-8, 12)[/tex]
[tex]\vec{u_2} = (13, 15)[/tex]
Once
[tex]\cos(\theta)=\dfrac{\vec{u_1} \cdot\vec{u_2}}{||\vec{u_1}||||\vec{u_2}||}[/tex]
Considering that the dot product is
[tex]\vec{u_1}\cdot \vec{u_2} = (-8)\cdot 13 + 12\cdot 15 = -104+180= 76[/tex]
and the norm of [tex]\vec{u_1}[/tex] is [tex]||\vec{u_1}|| = \sqrt{(-8)^2 + 12^2} = \sqrt{64 + 144}= \sqrt{208}[/tex]
and the norm of [tex]\vec{u_2}[/tex] is [tex]||\vec{u_2}|| = \sqrt{13^2 + 15^2} = \sqrt{169 + 225}= \sqrt{394}[/tex]
Thus,
[tex]\cos(\theta)=\dfrac{76}{\sqrt{208} \sqrt{394}} = \dfrac{19}{\sqrt{13}\sqrt{394}}=\dfrac{19}{\sqrt{5122}}[/tex]
[tex]\therefore \theta = \arccos \left(\dfrac{19}{\sqrt{5122}} \right)[/tex]
A triangular spatula has side lengths of 6 inches, 6 inches, and 4 inches. Is this spatula acute, obtuse, or right? Explain how you know the answer.
=2x^2 − 8 + 6 what is the vertex
Answer:
(0,-2)
Step-by-step explanation:
A label prints in the pediatric pharmacy
satellite for 500 mL of dextrose 15% solu-
tion. This concentration is not available
commercially and needs to be compound-
ed. Available in your pharmacy, you have
a 1 L bag of sterile water and a 1 L bag
of dextrose 70% available to compound
the solution. How many mLs of each are
needed to make the requested solution?
Answer:
107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
Step-by-step explanation:
Since a label prints in the pediatric pharmacy satellite for 500 mL of dextrose 15% solution, but this concentration is not available commercially and needs to be compounded, and available in your pharmacy, you have a 1 L bag of sterile water and a 1 L bag of dextrose 70% available to compound the solution, to determine how many mLs of each are needed to make the requested solution, the following calculation must be performed:
500 x 0.15 = 75
100 x 0.70 = 70
A x 0.70 = 75
A = 75 / 0.70
A = 107.14
Therefore, 107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.
[tex] {4}^{m} = \frac{1}{16} \\ find \: m[/tex]
Answer:
[tex] {4}^{m} = \frac{1}{16} [/tex]
[tex] {4}^{m} = {4}^{ - 2} [/tex]
[tex]same \: base \: so[/tex]
[tex]m = - 2[/tex]
[tex]hope \: this \: help \: u[/tex]
Answer:
Answer:
{4}^{m} = \frac{1}{16}4
m
=
16
1
{4}^{m} = {4}^{ - 2}4
m
=4
−2
same \: base \: sosamebaseso
m = - 2m=−2
hope \: this \: help \: uhopethishelpu
Add 1/4 + 5/14 +6/7 Simplify the answer and write it as a mixed number.
Answer:
[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]
Step-by-step explanation:
In order to add fractions, the denominators must all be the same value (the lowest common denominator). The lowest common denominator is the smallest value that all of the given denominators (in this case, the denominators are 4, 14, and 7) can divide into.
Here, the smallest number that all three of the given denominators can perfectly divide into is 28:
28 ÷ 4 = 7
28 ÷ 14 = 2
28 ÷ 7 = 4
Therefore, our lowest common denominator is 28.
The next step is to change our numerators to match our lowest common denominator. To do this, we have to multiply the numerator by the same value that we would need to multiple the denominator by in order to get our lowest common denominator.
For our first term of 1/4, we need to multiply our denominator (4) by 7 in order to get our lowest common denominator of 28. So, we need to also multiply our numerator by 7:
[tex]\frac{1}{4}[/tex] × [tex]\frac{7}{7}[/tex] = [tex]\frac{7}{28}[/tex]
Therefore, our first term becomes [tex]\frac{7}{28}[/tex].
For our second term of 5/14, we need to multiply our denominator (14) by 2. So, we need to also multiply our numerator by 2:
[tex]\frac{5}{14}[/tex] × [tex]\frac{2}{2}[/tex] = [tex]\frac{10}{28}[/tex]
Therefore, our second term becomes [tex]\frac{10}{28}[/tex].
For our third term of 6/7, we need to multiply our denominator (7) by 4. So, we need to also multiply our numerator by 4:
[tex]\frac{6}{7}[/tex] × [tex]\frac{4}{4}[/tex] = [tex]\frac{24}{28}[/tex]
Therefore, our third term becomes [tex]\frac{24}{28}[/tex].
Now that they all have the same denominator, we simply have to add all three together:
[tex]\frac{7}{28}[/tex] + [tex]\frac{10}{28}[/tex] + [tex]\frac{24}{28}[/tex] = [tex]\frac{41}{28}[/tex]
When we simplify this into a mixed number, we get:
[tex]\frac{41}{28}[/tex] = [tex]1\frac{13}{28}[/tex]
Answer:
41/28 = 1 (13/28)
Step-by-step explanation:
gotta make the denominators the same.
The dimensions of a rectangle are 20' by 40'. If a model rectangle with a scale of 5' = 10'' is to be made, find the dimensions of the model.
40'' by 40''
20'' by 40''
40'' by 80''
80'' by 80"
20’ / 5’ = 4
4 x 10” = 40”
40’ /5’ = 8
8 x 10” = 80”
Scaled dimension: 40” x 80”
A ratio shows us the number of times a number contains another number. The correct option is C.
What is a Ratio?A ratio shows us the number of times a number contains another number.
Given that the model rectangle with a scale of 5' = 10'' is to be made. Therefore, the ratio is,
5' = 10"
1' = (10/5)" = 2"
If the dimensions of a rectangle are 20' by 40'.
20' = 20 × 2" = 40"
40' = 40 × 2" = 80"
Hence, the correct option is C.
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Two students devised a game called “3 Pennies & 2 Nickels.” Each player will choose to play the pennies or the nickels. In each round, the players will flip all their coins on the table and record how many heads and tails they have. The table below includes the point scheme.
Point Values for “3 Pennies & 2 Nickels”
Penny Points Nickel Points
All pennies heads: –2 Both nickels heads: –2
At least one of each: +3 One of each: +5
All pennies tails: –2 Both nickels tails: –2
Answer:
E(penny) = 1.75 and E(nickel) = 1.5, so she should play with the pennies.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
trust meh
I need help with this
9514 1404 393
Answer:
B. (-2, -4)
Step-by-step explanation:
Use one equation to substitute for y in the other.
3x +2 = -2x -8
5x = -10 . . . . . . . . add 2x-2
x = -2 . . . . . . . . . tells you choice B is correct
Then ...
y = 3(-2) +2 = -4
Jake drove 4 miles south from his house. He forgot something at home, so he had to make a U-turn. After leaving his house again, he drives south for 10 miles to his final destination. Which statement is true
Answer:
Hence his displacement would be 10 miles and the total distance he travels is 18 miles.
Step-by-step explanation:
Jack travel 4mile in South then come home so his net displacement is zero because his initial and final point coincide. Now he again travels 10 miles within the South so his displacement would be 10 miles and therefore the total distance he travels is
⇒ 4 +4+ 10 =18 miles.
A researcher conducts a hypothesis test and concludes that his hypothesis is correct. Explain why this conclusion is never an appropriate decision in hypothesis testing.
Answer:
we use the terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect. in hypothesis testing
Step-by-step explanation:
The conclusion made by the researcher after conducting a hypothesis test ( i.e. hypothesis is correct ) is not the right decision because in hypothesis testing we either reject the Null hypothesis or we fail to reject the Null hypothesis.
These conclusions can be made when;
P-value < ∝ ( reject null hypothesis ) and P-value > ∝ ( fail to reject null hypothesis )
and We do not use the term the hypothesis is correct But we use these terms, the hypothesis is incorrect or we lack sufficient evidence to declare the hypothesis incorrect.
10 ft wide by 14 ft long. if the ceiling is 8 ft high. what is the area of the four walls?
Answer: 80
Step-by-step explanation:
Abraham is writing a recursive function for the geometric sequence:
24, 12, 6, 3,
Khan Academy Problem PLEASE HELP
Answer:
a1 = 24
an = an-1 × 1/2, n >1
Step-by-step explanation:
a geometric sequence is a sequence where we multiply every previous term by a certain factor to create the next term.
so, we multiply 24 by something to get 12.
and then 12 by the same something to get 6.
and then 6 by the and something to get 3.
do you see the pattern ? hmmm ?
right, we always divide by 2 (or multiply by 1/2).
the starting value a1 = 24
so,
an = an-1 × 1/2, n>1
or
[tex]an = a1 \times {(1 \div 2)}^{n - 1} [/tex]
n>1
can you help me with these high rated questions
I wish you will help me with his highlighted questions
Answer:
52 is (a)
55 is.( d)
56. is (d)
y – 1 = 2(x – 2), solve for y
Answer:
y = 2x-3
Step-by-step explanation:
y – 1 = 2(x – 2)
Distribute
y-1 =2x-4
Add 1 to each side
y-1+1 = 2x-4+1
y = 2x-3
what is the type of angle?
Answer:
C) Vertical angles
Step-by-step explanation:
They’re vertical angles because they’d be equal to each other and they’re located across from one another in the corners of the "X" formed by 2 straight lines.
helppp .....................
Answer:
D represents a proportional relationship
Step-by-step explanation:
Proportional graphs always intersect with zero
There are two 5s in the number 855,309. Rico
says that the 5 in the ten-thousinds place is 1000
times greater than the 5 to its right. Is she correct?
Explain how
you know
Answer:
no it is 10 times greater because we use the base 10 system where each number to the left is 10 times greater
Step-by-step explanation:
if ABCD is a parallelogram,find m>D and angle C=(9×-1) and angle A=(13×-25)
9514 1404 393
Answer:
∠C = ∠A = 53°
∠D = 127°
Step-by-step explanation:
Opposite angles of a parallelogram are congruent, so ...
∠A = ∠C
13x -25 = 9x -1
4x = 24
x = 6
∠C = ∠A = 9(6) -1
∠C = ∠A = 53°
Adjacent angles of a parallelogram are supplementary.
∠D = 180 -∠C
∠D = 180 -(9(6) -1) = 180 -53
∠D = 127°
Evaluate x-2 for x = -3.
Evaluate each expression.
