9514 1404 393
Answer:
70 m
Step-by-step explanation:
Perhaps you want to evaluate the expression:
[tex]\dfrac{7\text{ cm}}{1\text{ yr}}\cdot 1000\text{ yr}=7000\text{ cm}=70\text{ m}[/tex]
__
There are 100 cm in 1 m. The units of yr cancel.
Jack invested $7,600 in an account paying an interest rate of 6\tfrac{1}{4}6 4 1 % compounded continuously. John invested $7,600 in an account paying an interest rate of 6\tfrac{3}{4}6 4 3 % compounded quarterly. After 19 years, how much more money would John have in his account than Jack, to the nearest dollar?
Answer: John would have $1371.33 more in his account than Jack.
Step-by-step explanation:
Formula to calculate amount after t years if compounded continuously:
[tex]A=Pe^{rt}[/tex]
Formula to calculate amount after t years if compounded quarterly:
[tex]A=P(1+\dfrac{r}{4})^{4t}[/tex]
, where P= Principal amount, r= rate of interest.
Given: P= $7,600
t=19 years
For Jack, [tex]r=6\dfrac{1}{4}\%=\dfrac{25}{4}\%=\dfrac{25}{400}=0.0625[/tex]
For John, [tex]r=6\dfrac{3}{4}\%=\dfrac{27}{4}\%=\dfrac{27}{400}=0.0675[/tex]
Amount in Jack's account after 19 years= [tex]7600e^{0.0625(19)}[/tex]
[tex]=7600e^{1.1875}\\\\=7600(3.27887376794)\\\\\approx\$24,919.44[/tex]
Amount in John's account after 19 years= [tex]7600e^{0.0675(19)}[/tex]
[tex]=7600(1+0.0675)^{19}\\\\=7600(3.45931245291)\\\\\approx\$26,290.77[/tex]
Difference = 26290.77-24919.44 = $ 1,371.33
John would have $1371.33 more in his account than Jack.
Answer:668
Step-by-step explanation: I just did it.
Choose the student who correctly wrote the algebraic expression for the following statement.
Martha made six times as many goals.
Answer:
hector
Step-by-step explanation:
Aida is adding
hector is multiplying
camila is dividing
juan is subtracting
6x=6timesx=6(x)
so hector is right
Answer:
Hector's work
Step-by-step explanation:
"Six times as many" means 6 x the number of goal!
Hope that helps!
You have $10 saved. Each week you receive $5 more. Fill in the table to show how much you will have each week. You keep filling out the table to see how much you will have at the end of 6 weeks.
Answer:
90
Step-by-step explanation:
You have 10 dollars saved and each week you recieve 5,multiply 10 x 5 and then multiple 15x6 and there you go
Kendall is making cupcakes for a party. She uses 18 of a 4-pound bag of sugar to make a batch of cupcakes. Each batch has 24 cupcakes. Drag one expression next to each question. The correct expression for each row is a way to answer that question.
Complete question :
Kendall is making cupcakes for a party. She uses 1/8 of a 4-pound bag of sugar to make a batch of cupcakes. Each batch has 24 cupcakes.
Drag one expression next to each question. The correct expression for each row is a way to answer that question.
How many pounds of sugar does Kendall use for a batch of cupcakes?
How many pounds of sugar are used for each cupcake?
Answer:
1/8 * 4 = 0.5
0.5 ÷ 24 = 0.0020833 pounds
Step-by-step explanation:
The amount of sugar in pounds used for a batch of cupcake is : 1/8 of 4 pounds
1/8 * 4 pounds
= 0.5 pounds
Pounds of sugar used for each cupcake :
Number of cupcakes per batch = 24
Pounds of sugar per cupcake :
Pounds of sugar per batch / number of cupcakes per batch
0.5 pounds / 24
= 0.0020833 pounds
Please help!!!!!! I will give brainliest!!
Step-by-step explanation:
6 = 3(-1) +9 yes this is true
5(-1) +6 = 1 Yes this is true
so yes it's a solution because it works in both equations.
The ratio of the length to the width the official german flag is 5:3.Sanda is making 12 german flags for a cuiture show.Each flag she makes has a length of 20 centimeters . It takes her 4 hours to make all the flag. What is the width of each flag and the average amount of time it takes sandra to make each flag?
Answer: The width of each flag = 12 cm
The average amount of time it takes Sandra to make each flag = 20 minutes.
Step-by-step explanation:
Given: The ratio of the length to the width the official german flag is 5:3.
Let length = 5x, width = 3x
Length of each flag = 20 cm
i.e. [tex]5x=20\Rightarrow\ x=\dfrac{20}{5}=4\text{ cm}[/tex]
Then width of each flag = 3 x 4 = 12 cm
i.e. width of each flag = 12 cm
Total time to make 12 flags = 4 hours
Time taken to make 1 flag = [tex]\dfrac{4}{12}[/tex] hour
Time taken to make 1 flag = [tex]\dfrac{1}{3}[/tex] hour
1 hour = 60 minutes
Time taken to make 1 flag = [tex]\dfrac{1}{3}\times60[/tex] minutes = 20 minutes.
Hence, the average amount of time it takes Sandra to make each flag = 20 minutes.
pls help me out lol. I’m desperate
Answer:
x=3
Step-by-step explanation:
[tex]\frac{x}{9} =\frac{8}{21+x}[/tex]
x²+21x-72=0
(x-3)(x+24)=0
x=3 or x=-24(rejected)
∴x=3
A piece of machinery was purchased by a factory. It depreciates at 10percent every year. At the end of second year its value is rs 1,29,600.What is the cost price
Answer:
160000
Step-by-step explanation:
Let the cost price = x
At the end of the first price, it loses ten percent = 0.9x
At the end of the second year, it loses an extra ten = 0.9(0.9x)= 0.81x
0.81x=129600
x=160000
A book sold 32,100 copies in its first month of release. Suppose this represents 9.3% of the number of copies sold to date. How many copies have been sold to date? Round your answer to the nearest whole number.
Answer:
Your answer.
345161.29
Thank you. And give my answer as Brainlist answer. Follow me for more
Step-by-step explanation:
Answer:
345,161
Step-by-step explanation:
It means that [tex]32,100=.093x[/tex]. Divide each side by .093, and you get 345,161, dropping the decimal, since you can't sell a fraction of a book.
CAN SOME ACTUALLY HELP ME PLEASE!!!!!!!!!!!!!!!!!!
Answer:
(1, No, No) (2, No, Yes) (3, 6x^2+10) (4, 2x^2-3) (5, x^2-x) (6, -2x^4+12x+3)
(7, 3x^3+15x^2+20) (8, 9x^3 + 4x^2+8x) (9, xy+2x+6y+5) Sorry didn't have an answer for 10. I hope they are all correct sorry for the wait.
Step-by-step explanation:
I need this ASAP Joe needs at least $75 to take his mom
out for her birthday. So far he has
saved $30. He has 3 days to make the
money. Suppose he earns the same amount each
day,
write
an inequality to find out how much
he needs to earn each day. solve the inequality
Answer:
He will need to get 15$ a day
Step-by-step explanation:
So what u can do is subtract 30 from 75 u will get 45 divide that by 3 and u get 15. Hope it helps
At the zoo, the ratio of birds to snakes is 2:3. If there
are 12 snakes at the zoo, how many birds are there?
Show your work! Type your final answer in the box
below.
Submit
Answer:
8 birds
Step-by-step explanation:
Birds to snakes is 2:3. So, then it would be 4:6, 6:9, 8:12 if you use a table.
Answer:
U need to slove the same way as shown above just change the number and solve if still u find any difficulty. then u can follow me I will surely help u out
All The Best
Write the coefficients of:
xin 3xy + 8y - Oy
(11) 5 in 61-57'n + 8p
(ii) z'in 3xy +42-64
(iv) yz in 3x - 5yx
Step-by-step explanation:
Here x coefficients are 3y + 8y - OyHere 5 coefficients are 61-7'n + 8pHere z coefficients are 0Here yz coefficients are 0x/5 = 2,2 help??????
Answer: 22
Step-by-step explanation:
HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE
Answer:
K is the independent value.
Step-by-step explanation:
For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.
(The X axis is always independent, and the Y axis is always dependent.)
If you want me to do the "Complete the sentence", please tell me the options in the comments.
Answer:
t is the independantt variable and K is the dependant variable...
Smaller? Or less than...
I dont know..
Step-by-step explanation:
hope I helped.. can I have brainliest please? hee hee
Could you help me please ?
Answer:
Step-by-step explanation: The quotient is 20
In 2010, the population of a city was 180,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
Answer:
I. Exponential Growth. (1 ) t y C r. = +. Final. Amount. Initial. Amount. Rate of ... value increases by 7% each year. ... Step 1 Write the exponential growth function for this ... nearest hundredth. ... The population after 7 years will be approximately 38,783 people. ... Cesium-137 left from a 100 milligram sample after 180 year
Step-by-step explanation:
i think its right if not have a great day
Answer:
9800
Step-by-step explanation:
What is the volume of the rectangular prism below?
Answer:
V=140
Step-by-step explanation:
5*4=20
20*7=140
How do you find 15% of 160?
Given: - 4x/7 > 10. Choose the solution set. {x | x < - } {x | x > - } {x | x > - } {x | x < - }
Answer:
{x | x < - 35 / 2}
Step-by-step explanation:
-4x / 7 > 10
Multiply both sides by 7
-4x /7 * 7 > 10 * 7
-4x > 70
Divide both sides by - 4
-4x / - 4 > 70 / - 4
x < - 35 / 2 (inequality sign changes)
3. What do you call a polynomial with 3 terms?
Answer:
it's called a trinomial
To get from home to his friend Clayton's house, Eric would have to walk 4 miles due north. To get from home to his friend Dale's house, Eric would have to walk 3 miles due east. What is the straight-line distance between Clayton's house and Dale's house?
PLEASE ANSWER!
Answer: 5 miles
Step-by-step explanation:
It's a triangle so if you use the pythagorean theorem your equations should look like this. Sqroot of 4^2+3^2 which equals 5. Hope this helps. :)
How can I know 20 digits of Π… ??
And not know the 10 digits of your phone number?
What is the solution of the system of equations? Enter the solution as an ordered pair (use decimal rounded to the nearest hundredth if necessary)
=32+54−2+8=−25
Jessica and her friends have gone to dinner. When they finished eating their bill came to $82. Jessica decided that she wanted to give a 19% tip
Answer:
97.58
Step-by-step explanation:
Answer: D $15
Step-by-step explanation:
Find the sum:
15.07 +22.8
a. 37.01
b. 37.1
c.37.87
d. 37.78
Select all the statements that are true about rhombuses. Group of answer choices
Opposite angles are congruent.
Diagonals are congruent.
Diagonals bisect each angle.
Diagonals are perpendicular.
Opposite sides are parallel.
Step-by-step explanation:
By method of elimination;
- Opposite angles are congruent
Congruent means Equal
This is correct.
- Diagonals are congruent
This is incorrect.
- Diagonals bisect each angle.
This is correct.
- Diagonals are perpendicular.
This is correct.
- Opposite sides are parallel.
This is correct.
Answer:
- Opposite angles are congruent
- Diagonals bisect each angle.
- Diagonals are perpendicular.
- Opposite sides are parallel
solve 2|x+8|-6<16
Please help thanks!
Answer: Inequality form : -19<x>3
interval notation:
(--19,3)
Step-by-step explanation:
−5⋅16 will result in a
number. Is it positive or negative
Answer:
negative
Step-by-step explanation:
-5x16=-80
Answer:
negitive
Step-by-step explanation:
a negitave multiplied by a positive is still a negitive
What is the greatest common factor (GCF) of 24 and 40?
8, 4, 24, or 16
Answer:
8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
Factors of 24 and 40
24: 1, 2, 3, 4, 6, 8, 12, 24
40: 1, 2, 4, 5, 8, 10, 20, 40
8 comes as the GCF of both
