=======================================================
Explanation:
The general form of an exponential function is
y = a*b^x
where 'a' is the initial starting amount and b helps determine if we have exponential decay or exponential growth, and how much of it.
We have a = 330 as the initial amount. Since b = 1.06 is larger than 1, this means we have exponential growth. If 0 < b < 1, then we would have exponential decay.
Solving 1+r = 1.06 leads to r = 0.06 = 6%, showing we have a growth rate of 6%
This means that if we started with say 100 people, and the population grew by 6%, then at the end of the time unit (say 1 year), then we'd have 106 people.
A person invested $2,500 in an account growing at a rate allowing the money to
doubleevery 11 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $3,800?
Answer:
Step-by-step explanation:
A person invested $2,500 in an account growing at a rate allowing the money to double every 11 years. How long, to the nearest tenth of a year would it take for the
value of the account to reach $3,800?
The formula for exponential growth given as:
A(t) = Ao (1/2)^t/t½
A(t) = Amount after time t = $3,800
Ao = Initial amount invested = $2500
t = Time in years
t½ = Time it takes to double = 11 years
Hence,
3800 = 2500(1/2)^t/11
Divide both sides by 2500
3800/2500 = 2500(1/2)^t/11/2500
The length of your family's garden is 3 feet greater than the width. The area of the garden is 460 square feet. What are the dimensions of the garden?
Given:
The length of your family's garden is 3 feet greater than the width.
The area of the garden is 460 square feet.
To find:
The dimensions of the garden.
Solution:
Let x feet be the width of the garden. Then,
Length = [tex]x+3[/tex] feet
The area of a rectangle is:
[tex]A=l\times w[/tex]
Where, l is the length and w is the width of the rectangle.
The area of the rectangular garden is:
[tex]A=(x+3)\times x[/tex]
[tex]A=x^2+3x[/tex]
It is given that the area of the garden is 460 square feet.
Putting [tex]A=460[/tex], we get
[tex]460=x^2+3x[/tex]
[tex]0=x^2+3x-460[/tex]
Splitting the middle term, we get
[tex]x^2+23x-20x-460=0[/tex]
[tex]x(x+23)-20(x+23)=0[/tex]
[tex](x+23)(x-20)=0[/tex]
[tex]x=-23,20[/tex]
The width of a garden cannot be negative. So, [tex]x=20[/tex].
Now,
[tex]l=x+3[/tex]
[tex]l=20+3[/tex]
[tex]l=23[/tex]
Therefore, the length of the garden is 23 feet and the width of the garden is 20 feet.
If x² = 12x – 7 is solved by completing the square,
one of the steps in the process is
1) (x-6)=-43
2) (x+62 = -43
3) (x-6)2 = 29
4) (x + 6 = 29
Answer: i believe the answer is 4).
Step-by-step explanation:
Because x= + [tex]\sqrt{ 29[/tex] + 6
Which is the number name for 32.611? thirty-two and ciy bundrom
Answer:
Winnipeg.
Step-by-step explanation:
PLEASE HELP!!! WILL GIVE BRAINLIEST
Given:
Angle 1 = 90 (An)
Angle 2= 45 (An)
Angle 3 = 36 (An)
Angle 4 = 50 (An)
Angle 5 = 20 (An)
what is the radius of (x+5)^{2}+(y-4)^{2}=121?
Answer: 11
Step-by-step explanation:
Answer:
Step-by-step explanation:
The figure drawn is a circle. It's center is a (-5,4) just the opposite of what is in the brackets. I'm giving you this information just to be complete.
For a circle the radius is found using the lone number on the other side of the equal side -- in this case 121
The radius is the square root of that lone number.
radius^2 = 121
sqrt(radius^2) = sqrt(121)
radius = 11
Amanda, Joe, and Ravi have a total of $129 in their wallets. joe has $9 less than Amanda. Ravi has 4 times what Amanda has. How much does each have?
What is the lateral area and surface area? If you amswer correctly i will mark it as brainliest
Answer:
Lateral area:
L = πdh = 3.14*12*10 = 376.8 in²Total surface area:
S = L + 2*πd²/4S = 376.8 + 3.14*12²/2 = 602.9 in² (rounded)Which answer choice?
Answer:
B or C,i think. I'm not sure though
Stan's Sweater Superstore has a 30% off sale. This week only, everything in the store is marked down an additional 10% off the sale price. If Charlie wants to buy a sweater regularly priced at $50, how much would he pay? *Show your work* 8 points Your answer
Answer:
$30
Step-by-step explanation:
30 % + 10 % = 40 %
40 % of $50 = $20
%50 - $20 = $30
Find the perimeter show all work
Answer:
38 cm
Step-by-step explanation:
The perimeter is the sum of the sides
Starting from the left and going clockwise, then
9 + (10 - 6) + (9 - 2) + 6 + 2 + 10
= 9 + 4 + 7 + 6 + 2 + 10
= 38
Answer: 35 cm
Step-by-step explanation: to find the perimeter you add all the sides but sense there is on side that doesn't have a number you subtract 2 from nine then add all the sides plus 7.
PLEASE HELP!
If triangle MNO and triangle PQR are similar, which of the following must be true?
Answer:
C and D
Step-by-step explanation:
Want explanation? Comment
Answer:
D
Step-by-step explanation:
It looks like triangle MNO and PQR are similar because PQR is a smaller version of MNO reversed. If this is true, MN is equal to PQ, OM is equal to RP, and ON is equal to RQ. Therefore, the answer should be D.
I really hope this helps!!
help me out? thank you so much whoever does :)))
Answer:
93
Step-by-step explanation:
both of the angles are on a straight line. Therefore, together they add up to 180°. So 180°-87°=93°
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP HELP I NEED HELP ASAP
Answer:
D. Causation implies correlation
Answer:
B. is the answer
Step-by-step explanation:
During Christmas sale, a local store in Virginia has marked all items 20% off. George Walker bought a microwave that normally sells for $100 and a refrigerator that usually goes for $250. Calculate the total sale price.
Answer:
it looks like the answer to this problem is $280.
Step-by-step explanation:
i got this answer because you add $100 and $250 together. You will get $350. Then you take 20% of that total. So, 20% of 350 is 70. Now take 350-70, which = 280. and that should be your final answer.
question 5. find the total number of unit cubes that fill the entire prism
Answer:
72
......................
Brainliest Which is a true statement about the solutions of the equation x/x-2 = x-3/2x
Simplify the expression.
7x2 + 3 - 5(x^2- 4)
Answer:
2x² + 23
Step-by-step explanation:
Distribute the -5 and combine like terms.
7x² + 3 - 5(x² - 4) =
= 7x² + 3 - 5x² + 20
= 2x² + 23
Melissa's birthday is
next week and she has been receiving
receiving cards in the mail with different amounts of money. She has received 5 cards with
the following amounts: $10, $20, $ 25, $30, $40. If Melissa receives one more card in the mail with
$25, which of the following will happen?
Answer: a
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
1. Find the area of the shaded region.
22cm
Step-by-step explanation:
dztdxfchvjbkniuklyhj8nuoihyn897uiohy897iuohy87uiohy8nj,bhkbnjomiklj;miojkmojno;ioki987779807u
Rylan is calculating the standard deviation of a data set that has 9 values. He determines that the sum of the squared deviations is 316.
What is the standard deviation of the data set?
Round the answer to the nearest tenth.
Write an expression for 213 increased by d.
Write an expression for 213 increased by d: [tex]213+d=x[/tex]
Sabina had Rs. 50,000. She deposited some amount of it in Sanima Bank
5% p.a. and rest in Agriculture Development bank at 4% p.a. After 3 years
she withdrew her money which amounted to Rs 57080. Find the interes
separately she got from each bank.
(416-645)x(4965^3)+50222+
Answer:
It's
−28028073006403
Hope it helps!
Answer: − 2 8 0 2 8 0 7 3 0 0 6 4 0 3
Step-by-step explanation: i assume ur last + was supposed to be = ?
Please!!!!!!!
Can someone please help me with this question.
I will mark the first person brainliest if they answer with an actual answer not a link.
Answer:
It's 5,-5 because you always put the x axis numbers first.
Step-by-step explanation:
How much of a radioactive kind of lanthanum will be left after 120 hours if you start with 160
grams and the half-life is 40 hours?
Answer:
20 grams should be correct
Step-by-step explanation:
please give it to me I'm giving you enough but do it well
these simple equations
Answer:
em sorry
Step-by-step explanation:
PLEASE HELP!!!
I will mark you as brainleist.
!!!!!
Answer:
7.722cm^2, x=129
Step-by-step explanation:
12*12=144- area of the whole square
the diameter for the circle is 12
radius is 6
Area for circle= pi* r²
3.142*6^2=113.112
144-113.112=30.888
30.888/4=7.722
a can contains 15/16pounds of vegetable. one serving of these vegetable weights1/4pound.what is the total number of servings of vegetables in the can
Answer:
The total number of servings of vegetables will be [tex]3\frac{3}{4}[/tex]
Step-by-step explanation:
hope it helps...
have a great day!!
The sum of Derek and Quency's ages is 19 years. If the difference
of their ages is 5 years what are their ages?