Answer:
Aiden would have $67 more than Autumn.
Step-by-step explanation:
Aiden compounded continuously, which uses the formula: [tex]P(t)=P_oe^r^t[/tex]
Plugging in what we know about Aiden's investment: [tex]P(11)=98000e^0^.^0^2^*^1^1[/tex]
That gives us: 122115.5196
Autumn invested using regular compound interest, which has the formula: [tex]A=P(1+\frac{r}{t})^n^t[/tex]
Since Autumn's investment is getting compounded quarterly, n=4 because it gets compounded 4 times a year.
Plug in Autumn's investment: [tex]A=98000(1+\frac{0.02}{4})^4^*^1^1[/tex]
That gives us: 122048.5974
Now just subtract the two and round to the nearest dollar:
[tex]122115.5196-122048.5974=66.92215187[/tex]
OR
$67. Aiden would have $67 more than Autumn after 11 years.
Help me pls
A dance team is going to spend $1,440 to Purchase all sweatshirts or all jackets for the team members. Sweatshirts cost $24 each. Jackets cost $32 each. What is the greatest number of sweatshirts or jackets th team can Purchase?
The team can Purchase ___________ sweatshirts or ___________ jackets.
Answer:
They can get 60 sweatshirts or 45 jackets
Step-by-step explanation:
1440/24 for sweatshirts and 1440/32 for jackets.
Answer: 60 sweatshirts or 45 jackets
Step-by-step explanation:
if U=π (r+h),find the value of "r" when U=16 whole 1 upon 2 and h=2
Answer:
r = 3 1/4
Step-by-step explanation:
Here, we want to find the value of r given the values
Firstly, we will write r as the subject of the formula
U = π ( r + h)
U/π = r + h
r = U/π - h
Now substitute;
U = 16 1/2 = 33/2
h = 2
π= 22/7
r = 33/2/22/7 - 2
r = (33/2 * 7/22) - 2
r = 21/4 - 2
r = (21-8)/4
r = 13/4 = 3 1/4
Find the area of the bedroom with the shape shown in the figure, in square feet.
Answer:
144 because I did 34+12+14+7 and that is what I got
Step-by-step explanation:
Carrie often asks friends to play Among Us at lunch. Of the 5 games they play, Carrie wins 2 games. Consider this data. If she plays 20 games, how many games should you expect Carrie to win?
Answer:
8
Step-by-step explanation:
2 is 40% of 5, so if we stay within this data, then she will win 40% of the next 20 games she plays. 40% of 20 is 8, so she will win 8 games out of 20
(Image shown below this of the shape)
3. Consider this dilation Complete sentences
(a) is the image of the dilation a reduction or an enlargement of the original figure? Explain
(b) What is the scale factor? Explain
Answer
Answer:
a) A reduction
b) The scale factor is 1/2
Step-by-step explanation:
The vertices of the original figure, ABCD are;
A(-2, 4), B(4, 4), C(2, -2), and D(-4, -2)
The vertices of the image, A'B'C'D' are;
A'(-1, 2), B'(2, 2), C'(1, -1), and D'(-2, -1)
a) The length of the side AB = 4 - (-2) = 6 (Distance between points having the same 'x' or 'y' coordinates
The length of the side A'B' = 2 - (-1) = 3
The length of AB = 6 is larger than the length of A'B' = 3, therefore the image A'B'C'D' is a reduction of (is smaller) the figure ABCD
b) The scale factor = The ratio of the lengths corresponding sides of the image to the original figure;
∴ The scale factor =A'B'/AB = A'D'/AD = B'C'/BC = D'C'/DC
AD = √((-4 - (-2))² + (-2 - 4)²) = 2·√10
A'D' = √((-2 - (-1))² + (-1 - 2)²) = √10
A'D'/AD= √10/(2·√10) = 1/2
Therefore, given that the coordinates of the preimage are 2 × the coordinates of the image, we have;
The scale factor = A'B'/AB = B'C'/BC = D'C'/DC = A'D'/AD =1/2
The scale factor is 1/2, therefore, we multiply the dimensions of the original figure by 1/2 to get the dimensions of the image.
The scale factor = 1/2.
2 divided by 1 full and 1
over 3
Answer:
4/6
Step-by-step explanation:
Answer:
2/1=2 1/3=.333333333333333
Step-by-step explanation:
a shirt cost $300 is reduced by 15%
what is the new price?
what is the savings?
Answer:
saved: 45
new price is 255
What is the slope of the graph of y= 12x-19?
Answer:
12
Step-by-step explanation:
Hi,
in the equation y = mx + b...
M is your slope.
So, 12 is your slope.
I hope this helps :)
Answer:
12/1
Step-by-step explanation:
because te equation is in y=mx+b form in which m is the slope
If gas costs $3.15 per gallon, how many whole gallons of gas could you buy with $27.00?
(Make sure to answer with a whole number.) just explain it
Answer: 8 whole gallons.
Step-by-step explanation: If you have only $27.00 and you need to buy gas, but each gallon is $3.15, then you just need to divide your total amount ($27.00) by your cost per gallon ($3.15), and you will get about 8.6 gallons, however this question asks for how many WHOLE gallons you can get, so all you need to do is round down to fit your budget, leaving money for only 8 whole gallons.
WORK: ($27.00) / ($3.15) = 8.6 gallons
Harvey bought two pinatas, one shaped like a soccer ball and one
shaped like a basketball. Both pinatas are spheres with a radius of 5 inches.
What is the total volume of both pinatas? Round to the nearest tenth.
Answer:8.65
Step-by-step explanation:
What is 55 times 66 divied by 45
Answer:
3630 divided 45
80.666667
.Answer:
80.6666667
Step-by-step explanation:
BRAINLESS PLZ
PLEASE HELP I WILL MARK BRAINLIEST AND 5 STARS IF CORRECT
Write the expression for when you translate the graph of y=|x-3|+1
a) One unit up
b) One unit down
c) One unit to the left
Answer:
a)y=|x-3|+2
b)y=|x-3|
c)y=|x-2|+1
Please help:
How would you describe a polynomial to some new algebra students? What advice would you give to help learn how to add and subtract polynomials?
Answer:
I would describe a polynomial as an equation that finds out variables. An advice that I would give to help learn how to add and subtract polynomials is that polynomials is an hard subject and if you want to add and subtract polynomials you should try your best and not give up.
Step-by-step explanation:
Find mZX
N
Х
(5t - 130°
Y
(3t+ 3)º
8°
O 27°
O 126
Answer:
26
Step-by-step explanation:
???
Heeelp meeee :))))))
Answer:
C) y = 2x
Step-by-step explanation:
That's the only equation that if x = 0, y will = 0
Answer:
C
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
A
y = x + 1 ← has a y- intercept of 1
B
y = x - 1 ← has a y-intercept of - 1
C
y = 2x ← has a y- intercept of 0
D
y = 2x + 2 ← has a y- intercept of 2
Thus y = 2x passes through the origin → C
Complete the table and then graph the function.
y = x + 5 look at picture please help
can someone please help me solve this?
Answer:
tff is this lmaao sorry bro
5.
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit:
• She wants to hike for 2 hours.
• She wants to spend no more than 6 hours away from home.
• She can average 65 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.
A. 392 miles
B. 260 miles
C. 16 miles
D. 392 miles
Answer:
B. 260 miles
Step-by-step explanation:
The important thing to consider here is the maximum amount of time she can spend driving. Since she will spend 2 hours at the park and want to be gone no more than 6 hours, this number is 4 hours.
This means she can spend 2 hours on the way to the park and 2 hours back. Her maximum distance, therefore, is 2 hours times an average speed of 65 miles per hour
Therefore:
2x ≤65 * 4
2x ≤ 260
x ≤ 130
Her maximum distance is 2 hours x 65 mph = 130 miles.
Answer:
Alexandria can choose any distance not more than 130 miles from her house to the park.
Step-by-step explanation:
Let Alexandria takes time 't' hours to walk from home to the park and distance between park and home is 'x' miles.
If she averages 65 miles per hour "to and fro" from her home to the park then the inequality that will represent this situation will be
2x ≤ 65t [ Distance = Speed × time ]
If she wants to hike for 2 hours and maximum time spent to reach the park is 6 hours
Then the maximum time spent by her to reach the park from her home should be = 6 - 2 = 4 hours.
By placing the value of t = 4 in the inequality
2x ≤ (65×4)
2x ≤ 260
x ≤ 130
Therefore, Alexandria can choose any distance not more than 130 miles from her house to the park.
Alexandria wants to go hiking on Saturday. She will consider these conditions when she chooses which of several parks to visit: • She wants to hike for 2 hours. • She wants to spend no more than 6 hours away from home. • She can average 65 miles per hour to and from the park. Write and solve an inequality to find possible distances from Alexandria’s home to a park that satisfies the conditions.
The actual answer is 180 miles if anyone was wondering. I know the other answer is "Verified" but its wrong. me and the other people who trusted it know that. good luck.
Alexandria wants to go hiking on Saturday. To choose from several parks she could go to, she considers these conditions.
She wants to hike for 2 hours.
She wants to spend no more than 6 hours away home.
She can average 65 miles per hour to and from the park.
Write and solve an inequality to find possible distances from Alexandrias home to a park that satisfies the conditions.
Explain show work please.
Favorite Answer
The distance from Alexandria's home to a park has to be within 130 miles.
Let h = time of Alexandria's hike = 2 hours.
Let p = time spent to get to park (driving)
h + 2p (since it is round trip - to the park and back) <= 6 hours (time to spend away from home)
h = 2, thus
2 + 2p <= 6
2p <= 4
p <= 4/2 = 2
Thus, she has to spend 2 hours to get to the park, and spend 2 hours to get back home.
distance to the park <= speed of driving x time of getting to park
<= 65 miles per hour x 2 hours
<= 130 miles
Thus, we get the 130 miles.
The correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].
Given, Alexandria wants to go hiking based on the conditions.
The average speed of Alexandria is 65 miles per hour.
Since she wants to hike minimum of 2 hours, so minimum distance covered by her will be [tex](65\times2=130) \\[/tex] miles.
Now time [tex]t[/tex] required to cover [tex]D[/tex] distance with the speed of 65 miles per hour will be [tex]\frac{D}{65}[/tex] hours.
But She doesn't want to spend more than 6 hours away from home,
So the inequality becomes,
[tex]2+\dfrac{D}{65} \leq 6[/tex].
On solving for D,
[tex]\dfrac{D}{65} \leq 6-2[/tex]
[tex]D\leq 4\times65\\\\\D\leq 260[/tex]
Hence the Distance traveled by Alexandria must not exceed by 260 miles.
Therefore the correct option is B. 260 miles. and the required inequality is [tex]2+\dfrac{D}{65} \leq 6[/tex].
For more details on Inequality follow the link:
https://brainly.com/question/19491153
A church group ordered a total of 22
drinks and burgers. Each drink cost
$2.50, and each burger cost $6.25. If the
group spent a total of $92.50, how many
burgers did the group purchase?
Please help 
Answer:
$37.50
Step-by-step explanation:
22 x 2.50 = 55
92.50 - 55 = 37.5
the purchase of the burgers cost
$37.50
(im not sure if its correct tho so im sorry if im wrong)
Greg sold his used electric saw and accessories for $759. If he received ten times as much
money for the electric saw as he did for the accessories, find how much money he received
for the electric saw.
Answer:
Step-by-step explanation:
Let the amount of money received for the accessories = x
Then the Saw would be 10x
The total is 10x + x = 759
11x = 759 Divide both sides by 11
x = 759 / 11
x = 69 dollars.
The saw was 10 times this amount = 10 * 69 = 690
Check
690 + 59 = 759
HALP PLEASE!!!!!!!! I RRALLY NEED TO GET THIS DONE
Answer:
E = (-3a, -2b)
O = (3a, 2b)
M = (3a, -2b)
Step-by-step explanation:
help please if correct i may or may not give brainlest
Answer
no yes yes yes
Step-by-step explanation:
Answer:
no, yes, no, yes
Step-by-step explanation:
Find the measure of the arc or angle indicated
Answer:
vdeuvhgcdfckzjhcvod ygxyfdcDcv
Step-by-step explanation:
Read each statement then select whether it is true or false.
True
False
O
§ * (5 x 8) is one-third of 5 * 8.
24 is two times as much as (12 + 12) 5
5 * 6+5 is five times as much as 6 +5.
is five times as much as 3 + 4.
O
5x
Answer:
1) true
2) false
3) false
4)True
I GIVING BRAINLIEST!!!PLEASE HELP!!
Answer: The answer is B!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The product of two rational numbers is irrational.
Answer:
The statement is false.
Step-by-step explanation:
Here we need to remember some things:
Integer numbers are closed under multiplication.
This means that for two integers a and b, the product a*b is also an integer.
A rational number is a number that can be written as the quotient of two integer numbers.
An irrational number is a number that can't be written as the quotient of two rational numbers.
Now let's see the statement:
"The product of two rational numbers is irrational."
The product of two rational numbers is written as:
[tex]\frac{a}{b} *\frac{c}{d}[/tex]
Where a, c, b, and d are integers.
We can rewrite that product as:
[tex]\frac{a*c}{b*d}[/tex]
Because of the first property, we know that a*c is an integer, and b*d is also an integer, so here we have a quotient of two integer numbers, so this is a rational number.
Then the product of two rational numbers is a rational number.
Then the statement is false.
Please help me on thisss
Answer:
x² − 10x + 25
Step-by-step explanation:
Express (x - 5)² as a trinomial in standard form.
First, you rewrite it.
(x − 5)(x − 5)
Next, you expand it.
x² − 5x − 5x + 25
Last, you combine like terms.
x² − 10x + 25
I am confused on this quadratic problem.
I am thinking it is (x+5)^2=81.
Here's the problem: The sum of a number and 5 is squared. The result is 81.
Answer:
(x+5)^2=81 would be correct
Step-by-step explanation:
solution (if you want it)
x² + 10x + 25 = 81
x² + 10x - 56 = 0
(x + 14)(x - 4) = 0
x = 4, x = -14
i need help with this
HELP ME PLEASE I AM LITERALLY SO STRESSED OUT RN JUST PLEASE HELP MEEEEE
James is hiking on a trail. On the first day, he walked for 4 hours with a distance of 6 miles. On the second day, he walked 6 hours with a distance of 9 miles.
What is the constant of proportionality that relates the number of miles walked to the number of hours?
2/3
3/2
3
2
Answer:
i think its 3/2
Step-by-step explanation:
because 6 divided by 4 is 1.5
3/2 in a decimal is 1.5
