Step-by-step explanation:
The equation of the line is y = 1.5x + 3.
Hector invests $10,000 at age 21. He hopes the investments will be worth $150,000 when he turns 50. If the interest compounds continuously, approximately what rate of growth will he need to achieve his goal? Write your answer as a percentage rounded to one decimal place.
Answer:
9.33%
Step-by-step explanation:
Step one:
given
Principal= $10,000
Final amount = $150,000
time = 50-21= 29 years
Required
The rate
Step two:
to solve for the rate we can apply the formula for rate as
r = ln(A/P) /t
r= ln(150000/10000)/29
r= ln(15)/29
r=2.7080502011/29
r=0.0933
r= 0.0933*100
r= 9.33%
-Which plan charges a higher monthly rate? Justify your answer.
-The plan that charges the higher monthly rate charges__as much as the other plan.
a. 1.2
b. 0.78
c. 1.28
d. 0.83
-What is the one-time fee of fitness plan B?
Answer:
D
Step-by-step explanation:
free paints and brianliest
Marry christmas guys
Answer:
Yo
Merry Christmas and have a great day onwards
and thank you ❤
Answer:
thanks a lot friend!!!
Step-by-step explanation:
.......
tan22° + tan23° tan22°. tan23° = 1 prove that
Answer:
Formula:(from trigonometry)
Tan(A+B)=(tanA+tanB)/(1-tanA*tanB)
Let A=22 degrees,B=23 degrees
Tan(22+23)=(tan22+tan23)/(1-tan22*tan23)
From trigonometry we know tan45=1
Therefore tan(45)=1=(tan22+tan23)/(1-tan22tan23)
=> 1-tan22tan23=tan22+tan23
=> tan22+tan23+tan23tan22 =1
Hence proved
Melissa works for a florist. She used her employee discount to purchase 10 roses at $1.00 each. If melissa saved $4.00 by using her employee discount, what is the regular price if one rose purchased from the florist?
Answer: $1.4
Step-by-step explanation:
Given that:
Discounted price roses = $1
Amount saved = $4
Regular price - discounted price = amount saved
x - 10(1) = 4
x - 10 = 4
x = 4 + 10
x = $14
Regular price of 10 roses = $14
Regular price per rose = $14 / 10 = $1.4
8> -1; Subtract 8 from both sides.
Answer:
0 > -9
Step-by-step explanation:
8 > -1
-8 -8
0 > -9
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
expand and simplify 5(2x+1)-2(3x-6)
Answer:
4x + 17
Step-by-step explanation:
10x+5-2(3x-6)
10x + 5-6x+12
What is the 20th term for the following sequence?
3,-9, 27,-81, ...
Answer: -3486784401
Step-by-step explanation:
This is a geometric progression and the formula to use to find the nth term will be: = ar^(n-1)
where,
a = 3
r = -9/3 = -3
n = 20
Therefore, ar^(n-1)
= 3 × -3^19
= 3 × -1162261467
= -3486784401
I need helpppp....:(
Answer:
D
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
For a pentagon with n = 5 , then
sum = 180° × 3 = 540° , thus
x = 540° ÷ 5 = 108
For an octagon with n = 8, then
sum = 180° × 6 = 1080° , thus
y = 1080° ÷ 8 = 135
Thus
x + y = 108 + 135 = 243 → D
Multiply
7z3 (2z2 – 4z).
A. 14z5 – 28z4
B. 9z5 – 11z4
C. 14z6 – 28z4
D. –14z
Answer:
solve it
Step-by-step explanation:
A plumber charges his customers $25.70 per hour, h, plus a $54.50
service fee. On Tuesday, he earns $118.75 for fixing Mrs. Goodwill's
sink.
Mrs. Goodwill also hires an electrician to repair several damaged
outlets in her home. The electrician charges $35.22 for each individual
outlet repair, r, plus a $62 service fee.
If the electrician charges Mrs. Goodwill a total of $167.66, which
equation shows how to determine the number of individual outlet
repairs correctly?
A. 35.22-62r = 167.66
B. 35.22r -62 = 167.66
C. 35.22 +62r = 167.66
D. 35.22r + 62 = 167.66
Answer:
D
Step-by-step explanation:
multiplying 35.22 with r since this amount is charged for every repair and then adding 62 since that is the additional fee
EF is the midsegment of trapezoid ABCD. Determine the value of x. 12.6 F E
The value of x is 5, the correct option is B
What is a Trapezoid?A quadrilateral with one side parallel to the other is a Trapezoid.
The midline in a trapezoid is parallel to its bases and the length is equal to half the sum of the bases.
In the figure attached the length of one of the parallel sides and the midline is given, the other base length has to be determined.
The length of AB = 12.6
The length of the midline EF = 8.8
The value of x =?
From the definition,
8.8 = (12.6 + x) /2
8.8 * 2 = 12.6 +x
x = 5
Therefore,the correct option is B.
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There are 35 people who have
entered the sled race. If 60% of
them are over the age of 15, how
many participants are over 15?
what is the equation of the line
Answer:
y=-x+3.
Step-by-step explanation:
The graph goes down one and right one before making another point. This means that the slope is -1/1. Simplify and you get -1. So far we have y=-1x. -1x is the same as -1. Now we have y=-x. The graph intersects the y-axis at the point (0,3). This makes our y-intercept 3. Our final equation is y=-x+3.
January 19 national popcorn day. A bag of popcorn has the average of 450 kennels if 4%% of the kernels dont pop how manu pieces of popcorn will the bag make
Answer:
The bag will make 432 pieces of popcorn.
Step-by-step explanation:
From the information given, you know that the bag has an average of 450 kernels and that 4% don't pop. So, with this information you can find the pieces of popcorn that the bag will made by calculating 4% of the average number of kernels in a bag and subtracting the result from that amount:
450*4%=18
450-18=432
According to this, the answer is that the bag will make 432 pieces of popcorn.
* EASY * how many like terms are in the expression?
14x - 14y +7 - x + z +2x
A. 0
B. 2
C. 3
D. 5
Answer:
It’s either 2 or 3 but I’m say 2.
David recorded the total number of miles he has driven in his car. He did not record data on day 5 or 8. The graph is shown below. using extrapolation estimate how many total miles he will have driven on day 5
A 115
B 102
C 80
D 130
Answer: 225
Step-by-step explanation:
Adam has $500 in a savings account at the beginning of the summer. He wants to have at least $200 in the account by the end of the summer. He withdraws $24 each week to buy clothes and food. What is the maximum number of weeks that Adam can withdraw money from his account?
Please help I will mark as brilliant answer.
Answer:
Step-by-step explanation:
if he has 500 and wants to have 200 left subtract 500-200=300
then if he spends 24 each week divide 300/24=12.5
the maximum number is 12 because cant have a remainder
at the end of the summer he would have 212 left.. 12x24=288..500-288=212
Answer:
12 weeks .
Step-by-step explanation:
24 x 12 = 288 . 24 x 13 = 312 .
500 - 288 = 212 . 500 - 312 =188 .
its 12 because if you do 13 its to below the price so you'll have some change left .
What is the value of the expression
3/5 (x-8) - y
When x=15 and y=1/10
A 11/10
B 21/10
C 31/10
D 41/10
Answer:
D 41/10
Step-by-step explanation:
substitute the values given into the equation. Calculate.
Answer:
D: 41/10
Step-by-step explanation:
Square LAMP has vertices L(-2, -3), A(4, -1), M(2,5), and P(-4, 3). What is the
perimeter of the square?
Answer:
The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
Step-by-step explanation:
The rule of the distance between two points (x1, y1) and (x2, y2) is
d = [tex]\sqrt{(x2-x1)^{2}+(y2-y1)^{2}}[/tex]
∵ LAMP is a square
∵ The sides of the square are equal in lengths
∴ LA = AM = MP = PL
Let us find the length of one side of it
∵ L = (-2, -3) and A = (4, -1)
∴ x1 = -2 and y1 = -3
∴ x2 = 4 and y2 = -1
→ Substitute them in the rule of the distance above to find LA
∵ LA = [tex]\sqrt{(4 - -2)^{2}+(-1--3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(4+2)^{2}+(-1+3)^{2}}[/tex]
∴ LA = [tex]\sqrt{(6)^{2}+(2)^{2}}[/tex]
∴ LA = [tex]\sqrt{36+4}[/tex] = [tex]\sqrt{40}[/tex]
→ Simplify the root
∴ LA = 2[tex]\sqrt{10}[/tex] units
∵ The perimeter of the square = 4 × side
∴ The perimeter of the square = 4 × 2[tex]\sqrt{10}[/tex]
∴ The perimeter of the square = 8[tex]\sqrt{10}[/tex]
∴ The perimeter of the square LAMP is 8[tex]\sqrt{10}[/tex] units
A large random sample of adults aged 40 to 50 living in San Francisco, California, was polled about how likely they are to purchase an electric vehicle sometime in the next year. To which population can the results of the poll safely be generalized
Answer:
Adults living in San Francisco, California
Step-by-step explanation:
The population is the large group from which the sample is selected or chosen. In the question given the sample is drawn from the adult population of San Francisco who are aged 40 to 50 to find out whether they can buy
an electric vehicle sometime in the next year.
The population it can be generalized to is adults living in San Francisco, California.
A population is defined as the group of all the individual members or objects having some common interest or characteristics.
The individual members are called the sampling units or simply units.
Answer:
adults only who live in San Francisco
x+3y=0
9y=-3x
how many solutions does this sytem have
Answer:
0 solutions
Step-by-step explanation:
when the 2 equations aresolved they get cancelled off each other.
Answer:
Infinite solutions
Step-by-step explanation:
got it right
A rug is 6 feet wide and 10 feet long. What is the ratio of the length to the width in simpliest form?
*3:5
*3:8
*5:3
*8:3
Hey,
Length to width ratio ;
[tex] \frac{10}{6} = \frac{10 \div 2}{6 \div 2} = \frac{5}{3} [/tex]
`Sorry if it's wrong
Good luck :)
Heres a graph of a linear function. Write the equation that describes that function.
Answer:
Y=[tex]\frac{1}{3}[/tex]X-4
Step-by-step explanation:
Using the slope-intercept equation, a line is given as y=mx+b, where m represents the slope and b represents the y-intercept. From this graph, we can see that the slope is 1/3 and this line meets the y-axis at -4.
Thus, using that information, we substitute this into the equation to get
y= (1/3)x - 4
Does 6(3-5w)=5(4-2w)-20w have one solution, no solution, or infinitely many solutions?
Answer:
infinite
Step-by-step explanation:
trust me I would know im a smart man in college
Two or more expressions with an Equal sign is called as Equation.6(3-5w)=5(4-2w)-20w have no solution
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is 6 times of three minus five w equal to five times of four minus two w minus twenty w.
6(3-5w)=5(4-2w)-20w
Apply distributive law on LHS side
6(3)-6(5w)=5(4)-5(2w)-20w
18-30w=20-10w-20w
Let us take all the variable w terms to one side
18-20=30w-10w-20w
-2=0
Hence based on the given equation , it has no solution.
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What is the GCF of 105x,30x and 75x?
I
Answer:
15x
Step-by-step explanation:
A bank account has a beginning balance of $460.00. After 6 months, the balance in the account has increased to
$465.75. What interest rate is being earned annually on this account?
****************DISCLAIMER****************
might not be right, im pretty sure tho
Answer:
the annual interest return rate is .025 i believe.
Step-by-step explanation:
after 6 months the money increased by 5.75 bucks.
the 6 month return rate was .0175, so double that to get the annual rate.
HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!
In ΔPQR, \overline{PR} PR is extended through point R to point S, \text{m}\angle QRS = (4x-15)^{\circ}m∠QRS=(4x−15) ∘ , \text{m}\angle RPQ = (x+1)^{\circ}m∠RPQ=(x+1) ∘ , and \text{m}\angle PQR = (x-2)^{\circ}m∠PQR=(x−2) ∘ . Find \text{m}\angle RPQ.m∠RPQ.
Answer:
Step-by-step explanation:
Notice that, the angle QRS is external to the triangle and adjacent to the angle PRQ. According to the theorem of a external/adjacent angle, we have: m∠QRS = m∠PQR + m∠RPQ, where PQR and RPQ are internal angles.
From the hypothesis, we have:
m∠QRS =(10x−12)∘(10x−12)
m∠PQR = (3x+20)∘(3x+20)
m∠RPQ=(3x−8)∘(3x−8)
Using the first equation and replacing the hypothesis:
m∠QRS = m∠PQR + m∠RPQ
(10x−12)∘(10x−12) = (3x+20)∘(3x+20) + (3x−8)∘(3x−8)
Multiplying and applying the remarkable identity:
Then, we use a calculator to find the roots, which are:
In this case, we will see what root is the right one.
Now, we replace it into m∠QRS =(10x−12)∘(10x−12), because we need to find m∠QRS.
m∠QRS =(10x−12)∘(10x−12) = (10(4.7) - 12) (10(4.7) - 12) = (35) (35) = 1225
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
if you are doing deltamath