Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
I need help with this please
lx+ 11 l< 17
Answer:
x<6 should be the correct answer
Multiply. Write your answer as a fraction in simplest form. 2/3 x 6/5
Answer:
4/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
2 6 12
_ x _ = _
3 5 15
Simplest form is 4/5
ANSWER FAST FOR BRAINLIEST AND FIVE STARS AND THXS!!!
Answer:
integers
Step-by-step explanation:
Bananas cost $1.15 per pound. Jose bought 2.4 pounds of bananas. How much did it cost?
Answer:
$ 2.76
Step-by-step explanation:
Hi there !
1 pd ........... $1.15
2.4pd .........$ x
x = 2.4×1.15/1
= $ 2.76
Good luck !
Answer:
Bananas cost $1.15 per pound
Cost of 2.4 pounds of bananas
= $(2.4×1.15)=$2.76
$2.76 is the right answer.
List all the 3-digit even numbers that can be created by rearranging these number tiles.
237
Answer:
732 372
Step-by-step explanation:
Help me someone please I’m lost and confused??
Answer: go to Cymath
Step-by-step explanation: This helped me with like everything in math class! It gives you step by step answers
Help asap people help with 6th grade..
Multiply. Use the greatest common factor to write each answer in the simplest form. 4/15 * 5/6
5/12 * 3/20
3/5 * 3/20
5/8 * 5/24
3 5/12 * 1 3/8
2 9/10 * 1 7/18
Answer:
1. 20/90 ----- GCF is 10 ----- 2/9
2. 15/240 ----- GCF is 15 ----- 1/16
3. 9/100 ----- GCF is 1 ----- 9/100
4. 25/192 ----- GCF is 1 ----- 25/192
5. 451/96 ----- GCF is 1 ----- 4 67/96
6. 725/180 ----- GCF is 5 ----- 4 1/36
if 9:x=36:20, What is the value of x
Answer:
x = 5
Step-by-step explanation:
Expressing the ratio in fractional form , that is
[tex]\frac{9}{x}[/tex] = [tex]\frac{36}{20}[/tex] ( cross- multiply )
36x = 180 ( divide both sides by 36 )
x = 5
The diameter of a circle is 9 ft. Find its area to the nearest tenth.
Step-by-step explanation:
D=9
A=pie*radius^2
=3.14*9/2*9/2
=63.58
=64
PLEASE HELP. Select the two roots of (3x+7)(2x-5)=0
Answer:
-7/3 & 5/2
Step-by-step explanation:
3x +7 = 0
3x = -7
x = -7/3
2x-5=0
2x = 5
X = 5/2
how do I solve these two problems please explan how you got the answer
Answer:
They want you to have a good "grasp" of algebra... since you're asking about this I'm going to guess you don't feel that comfortable with it ... so I'll go in detail below. Even thought this is exactly what your math teacher is supposed to be teaching you.. ask your math teacher if I can have part of their salary :) $$
Step-by-step explanation:
in Question 18 , they are asking to solve for y . what that means is they want an equation that looks like y= (some stuff) In math terms they are asking you to isolate the y ... which is the part your math teacher should have told you.. were you just not listening? :P Anyway, soooo to solve for y we want to get y by it self.. on one side of the = sign and everything else on the other.. to do this use the order of operations ... but.. for doing algebra it has to be done in reverse order :0.... which i'm sure your math teacher hasn't mentioned and partly why algebra is so difficult.
soooo solve for 'y' ( isolate y )
12x-4y=20
-4y=20-12x
y=(20-12x)/-4
Yes, I know.. that answer is not very "satisfying" but. that is solved for "y"
for Question 20 it's just straight algebra, no numbers.. it's more abstract...and solve for R ( isolate 'R') to get R by itself
P=(R-C) / N
I'm multiplying by N first b/c the next thing in those parenthesis and when you do the order of operations you'd usually to that first but remember we are going back wards in operations.. sooo multiply both sides by N
P*N=R-C ..
now that R-C is no longer in parenthesis we can do that addition of C to both sides.. this is kinda tricky b/c of how the R-C were both over the N anyway...
P*N +C=R
another way to think of this one.... maybe you don't want to and you can just skip this part if you want to be done...
P=(R-C)/N
P=R/N - C/N now we can do addition first .. like I was mentioning above
P+C/N = R/N multiply both sides by N
N(P+C/N)=R b/c N/N =1 just drop it from the R'
P*N +C =R we end up at the same place but my a different route.
what equation would make it a vertical line
Can you help me to solve this
Answer:
[tex]\frac{4a-2}{2a+1}[/tex]
Step-by-step explanation:
Factorise the numerator and denominator
8a² - 2 ← factor out 2 from each term
= 2(4a² - 1) ← 4a² - 1 is a difference of squares
= 2(2a - 1)(2a + 1)
4a² + 4a + 1 ← is a perfect square
= (2a + 1)²
Thus
[tex]\frac{8a^2-2}{4a^2+4a+1}[/tex]
= [tex]\frac{2(2a-1)(2a+1)}{(2a+1)(2a+1)}[/tex] ← cancel (2a + 1) on numerator/ denominator
= [tex]\frac{2(2a-1)}{2a+1}[/tex]
= [tex]\frac{4a-2}{2a+1}[/tex]
write an inequality for the following statement :
c is less than 1
Answer:
c < 1
Step-by-step explanation:
less than is <
c < 1
Sylvia wants to save up $1375 to go on vacation to the beach and amusement parks. She saves $55 each week and now has $165 saved. How many more weeks will Sylvia need to save money for her trip?
Answer:
Step-by-step explanation:
55x + 165 = 1375
so just add 55 till you get there
22
A triangle has sides of length 30 98 and 103 is it a right angle
Answer:
No because by definition, theres is no exact 90 degree angle to form a Right angle triangle
Answer:
No this triangle is not a right angle because right angle have exactly 90° value, corresponding to quarter turn.
PLEASE I NEED HELP FIND THE X USE THE SCREEN SHOT
Sarah goes grocery shopping and buys oranges by the pound. Does this represent a discrete or continuous graph?
Answer:
continuous graph
Step-by-step explanation:
A box of crayons costs $1.75, including tax. Mr. Valentino wants to purchase boxes of crayons for his class and has a $25 budget. Write an inequality to solve for the number of boxes of crayons Mr. Valentino can purchase.
NEED HELP PLZZZ :( WILL GIVE BRAINIEST IF RIGHT
A $1.75x ≤ $25
B $1.75x ≥ $25
C $25x ≤ $1.75
D $25x ≥ $1.75
Answer:
A ) $1.75 x ≤ $25
Step-by-step explanation:
the cost of x boxes of crayons = 1.75x dollars
If there is a budget of only $ 25,
So, the cost of x boxes of crayons ≤ $25
Answer:
Since his budget is 25, it's less than or equal to ( ≤ 25). That means your answer would be A $1.75x ≤ $25 because 1.75 times the amount of crayons can't go over the $25 budget.
The ratio of collectible cards Kyle owns to cards that Zeona owns is 3:2. Zeona has 36 cards. How will the ratio of Kyle’s cards to Zeona’s cards change if they both sell half of their cards? Explain.
Answer:
It wouldn't.
Step-by-step explanation:
With the ratio, since Zeona has 36 cards, Kyle must have 54. If they each sold half, Kyle would have 27 and Zeona would have 18. So, the ratio would still be 3:2.
Which one?
A. B. C. or D?
C. 7/2x -2.
Because slope is positive, y intercept is -2.
7/2 because if rise over run
Branliest would be appreciated if this helped
Consider the equation 3x+10=2x+10. Does this equation have one solution, infinitely many solutions, or no solutions? Explain your answer.
Answer:
One solution: x = 0
Step-by-step explanation:
Starting with 3x+10=2x+10,
subtract 2x from both sides. We get x + 10 = 10, or x = 0. This equation has ONE solution, x = 0.
Calculate the median of the following set of numbers.
19, 22, 75, 37, 37, 27, 32, 15, 10
Answer:
37
Step-by-step explanation:
10,15,19,22,27,32,37,37,75
Charlotte is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and also pays a cost per phone produced for materials and labor. The labor and materials cost $100 for each phone manufactured, and the total cost of producing 8 phones in a day would be $1300. Write an equation for C,C, in terms of p,p, representing total cost, in dollars, of producing pp phones in a given day.
Answer:
C=100+162.5pStep-by-step explanation:
In this problem, we want to write a model/equation that will represent the cost of producing a phone
Given, labor and materials cost per phone is $100
the cost of producing 8 phones a day is $1300
let us find the cost of producing one phone a day
8 phone is produced for $1300
1 phone will be for x
x= 1300/8
x=$162.5
The cost of producing a phone in a day is $162.5
therefore the of producing p phone in a day is 162.5p
if C represents the total cost of producing a phone
then total cost, in dollars, of producing p phones in a given day.
C=100+162.5p
Answer: C = 100p + 500
This is the correct awnser
Step-by-step explanation:
Tatianna withdrew $20 from her bank account 3 times.how much did her account change? write your answer as an integer.
Answer:
$216
Step by step
Explanation:
First we subtract $ 20 from $ 84 giving us a total of $ 64 and when we add that to $ 152 we get $ 216
.
Answer:
-60
Step-by-step explanation:
:::::::::::::::::::bdisbsidvwish
Answer:
what you are looking for is the exact form which is 71 over 12
I hope this helps you!
(p.s can I please have brainlyest?)
Step-by-step explanation
Exact form: 71/12
Decimal form: 5.916
Mixed number: 5 11/12
What is the inverse operation of addition?
Answer:Inverse operations are opposite operations. Subtraction is the inverse of addition and division is the inverse of multiplication.
Step-by-step explanation:
help me pleaseeeeeeeeeeeeeee
Answer:
Neither
Step-by-step explanation:
Hope this helps!
Answer:
meme
how bout that
(URGENT!! PLS HELP) The color of paint used to paint a race car includes a mixture of yellow and green paint. Scotty wants to lighten the color by increasing the amount of yellow paint 30%. If a new mixture contains 3.9 liters of yellow paint, how many liters of yellow paint did he use in the previous mixture?
Answer:
3 litersStep-by-step explanation:
Let the initial amount of yellow paint be x
Then we have x increased by 30% equals 3.9 liters:
x + 0.3x = 3.91.3x = 3.9x = 3.9/1.3x = 3 litersWhich square root is closer to 9?