Answer:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
four rolled-up dollar bills seeming to grow out of dirt, with a miniature rake lying in between them
SIMPLE ONE-TIME INTEREST
I=POrA=P0+I=P0+P0r=P(1+r)
I is the interest
A is the end amount: principal plus interest
P
0
is the principal (starting amount)
r is the interest rate (in decimal form. Example: 5% = 0.05)
Step-by-step explanation:
please help me i don’t understand
9514 1404 393
Answer:
2. chord theorem; t = 10.5
3. chord theorem; x = 5
Step-by-step explanation:
For both of these problems, the relevant theorem is the "intersecting chord theorem", also referred to as the "chord theorem." It tells you the product of the lengths of the parts of one chord is equal to the product of the lengths of the parts of the other chord.
2. 20t = 10·21
t = 210/20 . . . . divide by 20
t = 10.5 . . . . . . . simplify
__
3. 10(x +4) = 15(x +1)
10x +40 = 15x +15 . . . . . eliminate parentheses
25 = 5x . . . . . . . . . . . . . subtract 10x+15
5 = x . . . . . . . divide by 5
Given: f(x)=x-7and h(x) = 2x+3
Write the rule for f(h(x))
f(h(x))= 2x-7
f (h(x))= 2x-4
f(h(x))= 3x-4
f(h(x))= 3x -7
please help! 30 points !!
Answer:
1. C
2. C
Step-by-step explanation:
1. 5x+12=57
Subtract 12 from both sides
5x=45
Divide both sides by 5
x=9
2. 7-4x=12-3x
Combine like terms =
-4x+3x=-12-7
x=-12-7
x=19
Select the correct answer.
What is the solution to this system of equations?
3x+y=17
x+2y= 49
OA. It has no solution,
B.
It has infinite solutions.
OC. It has a single solution: x = 15, y= 17.
OD.
It has a single solution: x= -3, y = 26.
Answer:
one solution: x = -3, y = 26
Step-by-step explanation:
3x + y = 17
x + 2y = 49
If you multiply the first equation by -2 and then add you will eliminate the 'y' term
-2(3x + y) = -2(17)
-6x - 2y = -34
+ x + 2y = 49
-5x = 15
x = -3
-3 + 2y = 49
2y = 52
y = 26
use the quotient rule to find the derrivatives of 3/x^2
With full process
Answer:
[tex]\displaystyle \frac{d}{dx} \Big [ \frac{3}{x^2} \Big ]=-\frac{6}{x^3}[/tex]
Step-by-step explanation:
We can use either the Power Rule or the Quotient Rule to find the derivative of 3/x².
Power Rule: [tex]\displaystyle \frac{d}{dx}[ x^n] = nx^n^-^1[/tex]Rewrite [tex]\displaystyle \frac{3}{x^2}[/tex] as [tex]\displaystyle 3\cdot \frac{1}{x^2}[/tex] which is equivalent to [tex]3\cdot x^-^2[/tex].
Now we can apply the power rule to 3x⁻². Subtract 1 from the exponent and multiply the coefficient by -2.
3(-2)x⁻³ = -6x⁻³This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex].
Quotient Rule: [tex]\displaystyle \frac{d}{dx} \Big [ \frac{f(x)}{g(x)} \Big ]=\frac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}[/tex]Substituting 3 for f(x) and x² for g(x), we get:
[tex]\displaystyle \frac{(x^2)(0)-(3)(2x)}{(x^2)^2}[/tex]Simplify.
[tex]\displaystyle \frac{-6x}{x^4}[/tex]Using exponent rules, we can rewrite this as:
[tex]-6x^1^-^4 = -6x^-^3[/tex]This can be rewritten as [tex]\displaystyle -\frac{6}{x^3}[/tex], which is the same as what we got using the product rule.
Answer:
[tex]\displaystyle \frac{d}{d x}\left[\frac{3}{x^2}\right] = -\frac{6}{x^{3}}[/tex].
Step-by-step explanation:
Let [tex]f(x)[/tex] and [tex]g(x)[/tex] denote two functions of [tex]x[/tex]. Assume that [tex]g(x) \ne 0[/tex]. The quotient rule states that:
[tex]\displaystyle \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right] = \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2}[/tex].
In this question:
The numerator of the fraction is [tex]f(x) = 3[/tex] (a constant function.)The denominator of the fraction is [tex]g(x) = x^{2}[/tex].Find [tex]{f}^{\prime}(x)[/tex] and [tex]{g}^{\prime}(x)[/tex].
Notice that the value of [tex]f(x)[/tex] is constantly [tex]3[/tex] regardless of the value of [tex]x[/tex]. By the constant rule, [tex]{f}^{\prime}(x) = 0[/tex].
For [tex]{g}^{\prime}(x)[/tex], consider the power rule:
if [tex]m[/tex] represents a rational number (such as [tex]2[/tex],) then by the power rule, [tex]\displaystyle \frac{d}{d x}\left[{x}^{m}\right] = m\, {x}^{m-1}[/tex].
Apply this rule to find [tex]{g}^{\prime}(x)[/tex].
[tex]\begin{aligned}{g}^{\prime}(x) &= \frac{d}{d x} \left[x^{2}\right] \\ &= 2\, x^{2 - 1} \\ &= 2\, x\end{aligned}[/tex].
Substitute [tex]f(x) = 3[/tex], [tex]{f}^{\prime}(x) = 0[/tex], [tex]g(x) = x^{2}[/tex], and [tex]{g}^{\prime}(x) = 2\, x[/tex] into the quotient rule expression to find [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right][/tex]:
[tex]\begin{aligned}&\; \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] \quad \genfrac{}{}{0em}{}{\leftarrow f(x) = 3}{\leftarrow g(x) = {x}^{2}} \\ =&\; \frac{d}{d x}\left[\frac{f(x)}{g(x)}\right]\\ =&\; \frac{{f}^\prime(x) \cdot g(x) - f(x) \cdot g^{\prime}(x)}{{(g(x))}^2} \\ =& \; \frac{0 \, x^2 - 3\, (2\, x)}{\left({x}^{2}\right)} \\ =&\; -\frac{6}{x^{3}}\end{aligned}[/tex].
Therefore, [tex]\displaystyle \frac{d}{d x}\left[\frac{3}{{x}^{2}}\right] = -\frac{6}{x^{3}}[/tex].
Round to two decimal points
(1 + 2/3)*(1+2/5)*(1+2/7)*(1+2/9)
Answer: 11/3 or 3.6 or 3 2/3
Step-by-step explanation:
All you have to do is simplify the expression
Pls help me I don't understand this..... I will mark you as brainliest... the first one who answers
Answer:
it is the first answer because it want you to roll 5 first try
using f(x)=2x^2 and g(x)=3x+4. whats (g of f)(5)?
whats (f of g)(5)?
Answer:
f(g(x)) = 722, and g(f(x)) = 154
Step-by-step explanation:
f(x) = 2x²
g(x) = 3x + 4
g(f(x)) = 3(2x²) + 4
g(f(5)) = 3(2 × 5²) + 4
g(f(5)) = 3(2 × 25) + 4
g(f(5)) = 3 × 50 + 4
g(f(5)) = 154
f(g(x)) = 2(3x + 4)²
f(g(5)) = 2(3 × 5 + 4)²
f(g(5)) = 2 × 19²
f(g(5)) = 2 × 361
f(g(5)) = 722
Can someone help me find the solution?
Answer:
Solution: y=2
Pls pls help I don’t have time HELP ASAP. It also detects if it’s right or wrong.
Answer:
4 more students
Step-by-step explanation:
10% of 40 is 4, since the membership went up by 10% it is clear that there are 4 more students that joined the chess club.
Answer:
10/100*40
=4 more students joined the club
Step-by-step explanation:
3x + 10 = 5(x – 17)
how do i solve this?
any easy examples?
Answer:
x= 95/2 or x=47.5 or 47 1/2
Step-by-step explanation:
3x + 10 = 5(x - 17)
First Step:
multiply and combine the right side (parentheses)
5 times x = 5x 5 times -17 = -85
3x + 10 = 5x -85
Second Step:
Add like terms ----> which is: 3x and 5x -----10 and -85
BUT since you only want one x on one side, you combine x first.
3x + 10 = 5x -85
-5x -5x
-2x + 10 = -85
NOW
Third Step: Add the integers---> 10 and -85
you want to get 10 on the same side as the -85, so you subtract it from BOTH sides.
which brings you:
-2x + 10 = -85
-10 -10
NOW that we've subtracted -10 from -85 it's technically just adding 85 and 10 then putting a negative sign on it.
so now we have:
-2x = -95
Step Four:
divide -2 from each side to get X alone
-2x = -95
-2 -2
ANSWER:
x=47.5
I NEED HELP ASAP PLEASE
How do u write
A number is a maximum of twelve
Answer:
Step-by-step explanation:
4x3 is the max of 12
Can somebody plz help solve for each question what x =?(only if u know how to do it) thanks :)
WILL MARK BRAINLIEST WHOEVER ANSWERS FIRST :DD!!
Answer:
7)x=11
8)x=16
9)n=12
10)m=13
11)n=8
12)m=3
Step-by-step explanation:
Answer:
7= 11. 8=16. 9=12. 10=13 11=8. 12=3
Step-by-step explanation:
7= 9+2=11
8=12+4=16
9=9+3=12
10=8+5=14
11=7+1=8
12=3+0=3
Someone answer this i will give you the brainlist
Sonia has $40 in her lunch account and pays $2 each day to
eat lunch.
How long till her account has no money left?
Answer:
20 days
Step-by-step explanation:
Because to find the number of days that Sonia will have you have to divide total money ($40) by money each day ($2). And $40 divided by $2 is 20, so 20 days is the answer.
Have a most wonderfull day, and I hope you likeee the answer....so yep.
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
Answer:
66 pounds of tomatoes
Step-by-step explanation:
A recipe code lasagna calls for 3 pounds of tomatoes to serve 5 people. A caterer wants to make enough lasagna to serve 110 people. How many pounds of tomatoes does he neeed
From the above question:
5 people = 3 pounds of tomatoes
110 people = x pounds of tomatoes
Cross Multiply
5 people × x pounds = 110 people × 3 pounds
x pounds = 110 people × 3 pounds/5 people
x pounds = 66 pounds of tomatoes
Utop you answer questions 8:10. Each unit on the graph represents 0.75 miles Round
answers to the nearest font when necessary
GROCERY STORE
JIM'S HOUSE
20
19
18
17
10
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
0
BANK
MALL
0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
6. How many miles is Jim's house from the
mali?
7. Is Jim's house closer to the mall or the
bank? How many miles closer is it?
8. Jim is at his house, and his car has 25
miles until it runs out of goo Would Jim bo
able to make it from his house to the grocery
store and back without stopping for gos?
Explain
9. Jim loft his house and drove to the bank
On his way back home, Jim's wife called
when he was exactly half way home. How
many miles had Jim traveled when his wife
called?
10. Jim is hoping that a park will be built within 5 miles of his house. If a park is built at the
coordinates (12, 10), does that meet Jim's criteria? Explain.
Moreovering the Middle LLC, 2016
10
PRB
Answer:
6. 11.3 Miles
7. 1.5 Miles
8. No he would need 26 Miles , he only has 25 Miles.
9. 11.25 Miles
10. Not really it slightly goes over by about .80
Answer:
6: 15miles
7: 17miles
8: No, because just by going to the grocery is 13miles (times2) that's 26
9: 11.2 (not sure)
10: No, he said 5miles, the park is 5.8miles away from his house. (you don't have to but rounded is 6miles so he cant reach the park)
Step-by-step explanation:
Use the formula of a²+b²=c² (Pythagorean theorem)Write z = 5 + 2i as an ordered pair in an Argand diagram.
Answer:no hablo espanol
Step-by-step explanation:
What is F.O.I.L??? (Math question)
Answer:
F.O.I.L is a method of solving quadratic equations.
P.S, i love the pics.
Plz mark brainliest!!
rewrite in simplest terms 5g-4(-0.5g+0.9)
please help!! I'm very confused
Find the perimeter??
Answer:
13 in
Step-by-step explanation:
just add all the numbers lol
Answer:
the perimeter of the triangle is 13[tex]in^{2}[/tex]
Step-by-step explanation:
All you have to do is add up all the sides together, but first we need to find a common denominator, and it can be 12
[tex]3\frac{1}{3}[/tex] = [tex]\frac{10}{3} = \frac{40}{12}[/tex] ( i multiplied them by 4 (numerator and denominator))
[tex]4\frac{1}{6} = \frac{25}{6} = \frac{50}{12}[/tex] ( i multiplied them by 2 (numerator and denominator))
[tex]5\frac{1}{2} = \frac{11}{2} = \frac{66}{12}[/tex] ( i multiplied them by 6 (numerator and denominator))
Now that you have a common denominator for all 3 fractions, you can now add them all up
[tex]\frac{40}{12} + \frac{50}{12} + \frac{66}{12}[/tex]
Now to add, the denominator has to stay the same (12), and add up all the numerators
[tex]\frac{40}{12} + \frac{50}{12} = \frac{90}{12} + \frac{66}{12} = \frac{156}{12} = 13 (simplified)[/tex]
Hope this helped!
Simplify fully 5x^2 x 3y^4 x 2x x y^3
Please help me I will give you Brainly
Answer:
(- 1, 4 )
Step-by-step explanation:
Given the 2 equations
3x + 4y = 13 → (1)
2x - 2y = - 10 → (2)
Multiplying (2) by 2 and adding to (1) eliminates the term in y
4x - 4y = - 20 → (3)
Add (1) and (3) term by term to eliminate y, that is
7x + 0 = - 7
7x = - 7 ( divide both sides by 7 )
x = - 1
Substitute x = - 1 into either of the 2 equations and solve for y
Substituting into (1)
3(- 1) + 4y = 13
- 3 + 4y = 13 ( add 3 to both sides )
4y = 16 ( divide both sides by 4 )
y = 4
solution is (- 1, 4 )
Will Mark Brainliest
Solve each system by elimination. Show your work
3х – 10 y = 14
3х – 9y = 15
Answer:
subtracting both equations
3x-10y=14
3x-9y=15
- - =-
_________
0-y=-1
y=1
then putting the value of y in first eqn
3x-10×1=14
3x=24
x=8
so x is 8and y is 1
What is the difference between perimeter and area of polygons?
Answer: The perimeter is when you add all of the sides together, and the area is when you multiply the sides together
Step-by-step explanation:
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } [/tex]
Step-by-step explanation:
[tex] \sqrt{7 \times \frac{1}{9} } - \sqrt[3]{ \frac{297}{11} } \\ = \sqrt{ \frac{7}{9} } - \sqrt[3]{27} \\ = \frac{ \sqrt{7} }{3} - 3 \\ = \frac{ \sqrt{7} - 9}{3} [/tex]
a sports store sells three different packs of tennis balls. which pack is the best to buy? 4 sleeves for 11.49, 6 sleeves for 16.79, 9 sleeves for 22.99
Answer:
9 sleeves for 22.99
Step-by-step explanation
The first pack has a unit rate of $11.49/ 4 balls
=$2.8725
The second pack has a unit rate of $16.79/6balls
=$2.798 per ball
the third pack has a unit rate of $22.99/9balls
=2.554
So, I would definitely go for the third pack since it has the least cost.
Pls help me ASAP!
Evaluate the following
a: |8| - 9 =
b: |8 - 9| =
Answer:
a = -1
b= 1
Step-by-step explanation:
8's absolute value is 8, so 8 - 9 is -1 but 8-9 = -1 and since the answer is in the absolute value bars, -1's absolute value is 1, so the answer will be 1
but in a, only 8 is in the absolute value bars, not the complete answer