Answer:
Step-by-step explanation:
Given that:
The investment amount in account = $ 320
The rate of interest is = 8.1% compounded quarterly
Compunded quarterly means 8.1% / 4 = 0.02025
The time period = t years
The objective is to write a function showing the value of the account after t years.
From compound interest , compounded monthly.
[tex]Amount = Principal * ( 1 + \dfrac{rate}{12*100})^{12*time}[/tex]
[tex]= $320 *(1 + \dfrac{0.02025}{12*100})^{12t}[/tex]
[tex]= 320*(1+ 1.6875*10^{-5})^{12t}[/tex]
[tex]= 320 * ( 1.000016875)^{12t}[/tex]
Thus; the function after t years [tex]= $320 * ( 1.000016875)^{12t}[/tex]
The percentage of growth per year is :
= (1 + 0.02025)^4 - 1
= 1.083493758 - 1
= 0.083493758
= 8.4 % (APY) yearly
select the correct answer. witch is the correct simplified form of the expression
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
-1/3 -1/2 = -5/6
1/2-1/4 = 1/4
The negative makes the reciprocal
x^1/4/y^5/6
How do you write the circumference of the circle in terms on 几
____________________________________
Hey!!!
The formula to find circumference of circle
=2 pi r
For eg:
Radius=4 cm
Circumference of circle=2 pi r
=2 *pi*4
=8 pi
Hope it helps..
Good luck on your assignment
#Stay safe#
__________________________________
The function y = 100(0.5)
x
4
models the percent, y, of an initial dose of medicine remaining in a patientbloodstream after x hours.
Based on the model, what percent of the initial amount of medicine will remain in the patient’s bloodstream after 10 hours? Round to the nearest whole percent.
Answer:
18% , 27 Hours
Step-by-step explanation:
On edge 2020
The percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is, 17.7%.
What is a Function?A function assigns the value of each element of one set to the other specific element of another set.
Since, The function that models the percentage, y, of an initial dose of medicine remaining in a patient's bloodstream after x hours is given as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Now, if we substitute the value of x as 10 because we need to find the percentage of medicine in the body after 10 hours.
Therefore, the value can be written as,
⇒ [tex]y = 100 (0.5)^{x/4}[/tex]
Put x = 10;
⇒ [tex]y = 100 (0.5)^{2.5}\\[/tex]
⇒ y = 17.677
⇒ y = 17.7
Thus, the percentage of the initial amount of medicine that will remain in the patient’s bloodstream after 10 hours is 17.7%.
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Need Help ASAP!!!!!....
i need help please thanks
Answer:
66 units
Step-by-step explanation:
just addition
Answer:
66 units
Step-by-step explanation:
The perimeter of a two dimensional object is all of its sides added together:
6+14+10+17+4+3+8+4=
20+10+17+4+3+8+4=
30+17+4+3+8+4=
47+4+3+8+4=
51+3+8+4=
54+8+4=
62+4=
66 units
A paper manufacturer packages twelve reams of paper in a box—in three stacks of four reams. A ream of paper weighs 5 pounds and has dimensions of 8.5 inches by 11 inches by 2 inches. What is the volume of the current-sized box? a0 cubic inches
Answer:
Volume of the box = [tex]2244inches^{3}[/tex]
Step-by-step explanation:
Given
Number of reams in one stack = 4
Number of stacks in the box = 3
Dimensions of a ream = 8.5 inches, 11 inches and 2 inches respectively
To find
Volume of one ream = Length × Breadth × Height
= 8.5 × 11 × 2
= [tex]187 in^{3}[/tex]
Volume of all the four reams in one stack = 187 × 4
= [tex]748in^{3}[/tex]
Volume of all the three stacks in the box = 748 × 3
= [tex]2244in^{3}[/tex]
∴ Volume of the box = [tex]2244inches^{3}[/tex]
Answer:
The answer is 2244 in3. hope this helps☻♥.
giving brainliest to first answer!!
Determine the area of the composite figure to the nearest whole number.
A) 9 ft2
B) 11 ft2
C) 13 ft2
D) 17 ft2
Answer:
C
Step-by-step explanation:
3/4 * 4pi = 3pi
3pi + 4 =. 13
Melanie makes $3.00 less per hour babysitting than her best friend, Carita. If the combined hourly rate of Melanie and Carita is $15.00, how much does Melanie make per hour? A. $3.00 B. $6.00 C. $9.00 D. $12.00
Answer:
B 6.00
Step-by-step explanation:
M= 6$
C= 9$
M+C= 6+9= 15$ per hour
pls help meeeeeeee pls
Which ordered pair is the solution to the system of equations? {x+2y=−8y=12x−2
Answer:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Step-by-step explanation:
[tex]x+2y=-8 \\\\y=12x-2[/tex]
Substitute:
[tex]x+2(12x-2)=-8[/tex]
Expand:
[tex]x+24x-4=-8[/tex]
Simplify:
[tex]25x=-4[/tex]
Divide both sides by 25:
[tex]x=-\dfrac{4}{25}[/tex]
Plug this back into one of the original equations to find y:
[tex]-\dfrac{4}{25}+2y=-8 \\\\\\2y=-7 \dfrac{21}{25}=-\dfrac{196}{25} \\\\\\y=-\dfrac{98}{25}[/tex]
The ordered pair that represents this solution is therefore:
[tex]\left( -\dfrac{4}{25}, -\dfrac{98}{25} \right)[/tex]
Hope this helps!
To write 11x^2+17x-10 in factored form, Diego first listed pairs of factors of -10.
(__+10)(__+-1)
(__+1)(__+-10) (fill in blanks)
(You dont need to explain just answer it)
Plz answer the following equation. Plz answer all the questions... !!! 20 pts !! With explanations of each and plz can you make e understand them.
Answer:
add the negative to the 0 that is left alone at the end then carry the x2 over to the side bringing it down with the x and cancel them taking away the 2. the answer is -1
Step-by-step explanation:
Answer:
2+√3
2-√3
Step-by-step explanation:
4x-1-x²=0x²-4x+1=0x²-4x+4-3=0(x-2)²=3x-2=√3 ⇒ x= 2+√3x-2= -√3 ⇒ x= 2-√3Roots are irrational
Kiwi and Corn got into an argument over if 1.75 was a reasonable estimate for 6. Do you think 1.75 was a reasonable estimate for 6? Why or why not?
Answer:
No, it is not.
Step-by-step explanation:
comparing the two given values, 1.75 and 6, estimating 1.75 for 6 is not reasonable. This is due to the fact that converting 1.75 to the nearest whole number gives 2 which is far away from 6. Since,
6 - 2 = 4
So, estimating 1.75 for 6 would involve a large value of error. Which make it unreasonable. It would have been more reasonable to estimate 1.75 for 2.
Find the value of x in each case. Give reasons to justify your solutions!
Q ∈ PR
Answer:
x = 52 Degrees
Step-by-step explanation:
Welp, here I go again
According to the Exterior Angle theorem Angle R + Angle S = Angle PQS
So simplified that'd be (90 + 34) = x + 72
124 = x + 72
x = 124 - 72
x = 52 Degrees
Figure 3:
1. If you created a tree diagram to represent all the possible outcomes of a spinning spinner A once, then spinning spinner B, how many would there be in total
1. 9
2. 12
3. 18
Answer:
9
Step-by-step explanation:
Please help! I will mark you as brainliest!
Answer:
£290.70
Step-by-step explanation:
50x5=250
20x2=40
10x7=70
5x3=15
total = 375
375/1.29=290.697
= £290.70
Step-by-step explanation:
$50-5= 50×5
= 250
$20-2=20×2
= 40
$10-7= 10×7
= 70
$5-3= 5×3
15
then,
we add
250 + 40 + 70 + 15 = 379
£1= $1.29
$ = 1/1.29
= 379/1.29
Help!
MJ Supply distributes bags of dog food to pet stores. Its markup rate is 28%. Which equation represents the new price of a bag, y, given an original price, p? Select all that apply. *
A) y = 0.72p
B) y = p + 0.72p
C) y = 1.28p
D) y = p + .28p
E) y=1.28p
F) y = 1 + .28p
Answer: it’s C.
Step-by-step explanation:
The equation that represents the new price of a bag is y = 1.28p.
Markup rate is the ratio of the difference between the selling price and cost price to the cost price. It is given by:
Markup rate = (selling price - cost price)/cost price
Given that y is the selling price, p is the cost price and the markup rate is 28%, hence:
28% = (y- p)/p
y-p = 0.28p
y = 1.28p
Hence the equation that represents the new price of a bag is y = 1.28p.
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HELP PLEASE!
Which expression is equivalent to 2m2-m2(7-m)+6m2?
A.m2-m
B.-m3+13m2
C.-m3+m2
D. m3+m2
Answer:
D. m³+m²
Step-by-step explanation:
If expression is 2m²-m²(7-m)+6m² then after distributing and combining like terms it will be:
2m² -7m²+m³+6m²
m²+ m³
Answer:
other guy is right
Step-by-step explanation:
edg. 2020
You are looking for all possible pairs of car models and colors. A manufacturer has 12
models, each with 18 color options. What is the total possible pairs?
Answer:
216
Step-by-step explanation:
12 × 18 = 216 :)) !!!!
someone please help me please and thank you
Answer:
it is the second one
Step-by-step explanation:
if you rotate it by 180 degrees then it will end up across the original and it will look upside down. after you rotate it dilate it by 1/2 which will look smaller than the original. after you dilate it it should be across the orriginal and upside down and be smaller than the original.
Isabella watched the cashier scan the 7 items in her shopping cart. The scanned prices were
$9.00 $9.00 $8.00 $5.00 $7.00 $4.00 $7.00
What was the median price of the items?
Answer:
$7.00
Step-by-step explanation:
First you have to order the prices from least to greatest-
$4.00, $5.00, $7.00, $7.00, $8.00, $9.00, $9.00
Median means the number in the middle so you find the middle number which is $7.00 (the 4th number from least to greatest)
PLZZ HELPP Why is it important to simplify rational expressions before multiplying or dividing? How do you determine that a rational expression is in simplest form? Compare the process to addition and subtraction.
Answer:
"Simplifying rational expressions will make the further calculations easier since the variables to work with will usually be smaller.
To determine that a rational expression is in simplest form we need to make sure that the numerator and the denominator have no common variables."
Step-by-step explanation:
You borrow $1,000 on a simple interest loan. You pay an annual rate of 3.5%. You will
take 3 years to pay back the loan. How much interest will you pay?
$1,000
interest
0% 3.5%
100%
CHECK
$
Answer:
The amount of interest to be paid is $105
Step-by-step explanation:
To find how much interest that will be paid, we will follow the steps below;
Simple Interest = PRT / 100
where p is the principal, R is the rate and T is the time in years
from the question given
principal P = $1000
Rate R = 3.5
and time T = 3
substitute the values into the formula above
Interest = $1000×3.5×3 / 100
=$10×3.5×3
=$105
Interest = $105
The amount of interest to be paid is $105
Answer: no sense
Step-by-step explanation:
Need help ASAP
How to check that a trinomial is a perfect square ?
Answer:
Step-by-step explanation:
multiply the two square roots together and then by two. You should get the positive or negative version of the other term. Once again, if this is not the case, you do not have a perfect square trinomial. For example, in the trinomial x2 - 12x + 36, both x2 and 36 are perfect squares.
(a) Find an angle between 0 and 2π that is coterminal with −19π10.
Answer:
[tex]\dfrac{\pi}{10}[/tex].
Step-by-step explanation:
All coterminal angles of an angle [tex]\theta[/tex] are defined as
[tex]\theta +2n\pi[/tex] or [tex]\theta + n360^{\circ}[/tex]
where, n is an integer.
The given angle is
[tex]\theta=-\dfrac{19\pi}{10}[/tex]
So, all coterminal angles of an angle [tex]\theta[/tex] are
[tex]-\dfrac{19\pi}{10}+2n\pi[/tex]
For n=1,
[tex]\Rightarrow -\dfrac{19\pi}{10}+2(1)\pi[/tex]
[tex]\Rightarrow -\dfrac{19\pi}{10}+2\pi[/tex]
[tex]\Rightarrow \dfrac{-19\pi+20\pi}{10}[/tex]
[tex]\Rightarrow \dfrac{1\pi}{10}[/tex]
Since, [tex]\dfrac{\pi}{10}[/tex] between 0 and 2π, therefore, the required coterminal angle is [tex]\dfrac{\pi}{10}[/tex].
Which of the following statements best describes adjacent angles?
Adjacent angles are vertical.
O Adjacent angles are supplementary.
Adjacent angles share interior points.
Adjacent angles share a side.
Answer:
(d) Adjacent angles share a side.
Step-by-step explanation:
Adjacent angles share a side and a vertex, but do not share any interior points. The appropriate choice is ...
Adjacent angles share a side.
Answer: D: Adjacent angles share a side
Step-by-step explanation: Hope that helped
How do I solve this equation:
-5(n-1)=7(n+3)
Answer:
-3/4
Step-by-step explanation:
The First step is to distribute the 7 in the second part of parentheses.
-5+5-7n=21
-5-7n=21+5
Then collect the terms
-12n=16
Lastly distribute both sides by -12
And the answer is -3/4
Samantha is going to the store to buy cat food. A small bag of cat food costs $6 while a large bag costs $14. She plans to buy at least 4 bags of food but spend no more than $56. Which of the following is a possible combination of the types of bags she can buy?
Answer:
5 small bags of cat food and 1 large bag of cat food
Step-by-step explanation:
bc thats the only one that was no more than $54 and was at least 4 bags o food :)
Which of the following are square roots of the number below? Check all that
apply.
576
A.) 24
B.) -576 1/2
C.) 12
D.) -24
E.) 48
F.) 576 1/2
Answer:
A and D
Step-by-step explanation:
576 ^ 1/2 = + or - 24
If you flip a coin and pick a number tile from a bag of beans containing 6 different numbered beans at the same time, how many possible outcomes are there? A. 4 B. 8 C. 12 D. 16
Answer: C 12
Step-by-step explanation:
ALL possible outcomes
1 tails
2 tails
3 tails
4 tails
5 tails
6 tails
1 Heads
2 Heads
3 Heads
4 Heads
5 Heads
6 Heads
so its 12 total outcomes
Answer:
12
Step-by-step explanation:
go ask edge
