Consider a savings account earning annual compound interest with no additional deposits or withdrawals made after the initial deposit. The balance in the account after x years can be modeled by the function s(x) = 2.000(1.045) Which statement is the best interpretation of one of the values in this function? A) The initial balance of the account is $2,000. B) The balance in the account at the end of one year is $2,000. The initial balance of the account increases at a rate of 104.5% each year. D) The initial balance of the account decreases at a rate of 4 5% each year.
Answer:
The initial balance of the account is $2,000.
Step-by-step explanation:
I took the test on usa test prep
Answer:The initial balance of the account is $2,000.
f(x) = abx, where a = initial value, b = change factor, and x = time period.
Use the distributive property to write an equivalent expression. (6+8)x 2
I will venmo if someone can please help me
Answer: 14.967
Step-by-step explanation:
Use Pythagorean Theorem to find the missing length.
a² + b² = c²
x² + 10² = 18²
x² + 100 = 324 [Subtract 100 from both side]
x²= 224
√x² = √224 [solve the square root from both sides]
x ≈ 14.967
An angle with a measurement of 90 degrees is called?
Answer:
A right angle
Step-by-step explanation:
Answer:
Right angle. Its angle is in the corner and measured 90 degrees.
Step-by-step explanation:
16. On a yachting trip in the South Pacific, you discover a previously unknown island. You notice that there is a population of especially fluffy and particularly cute long-eared rabbits living there. These rabbits seem to have no predators at all on the island, and their mating habits seem to be perfectly random. When they are first surveyed, they have an average ear length of about 18 cm. When they are sampled again in five years, what will likely be true of their ear length
Answer: Their ear length will be thesame because there's no force of evolution.
Step-by-step explanation:
Based on the information given in the question as we are informed that the rabbits have no predators and that their mating habits seem to be perfectly random.
We should note that when they are sampled again in five years, due to the fact that there's no source of evolution, their ear length will be thesame. Also, their offspring number will be thesame as well.
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
Mr. Taylor has 24 sports trophies. Of the trophies, 1
8 are wrestling trophies. How many
wrestling trophies does Mr. Taylor have?
Answer: 18 wrestling trophies.
Step-by-step explanation:
A square pyramid has a base with a side length of 6 inches and lateral faces with heights of 11 inches. What is the surface area of the pyramid?
Answer:
[tex]\huge\boxed{\sf 168\ in.\²}[/tex]
Step-by-step explanation:
Surface area of the base:
= Length * Length
= 6 * 6
= 36 in.²
Surface Area of 1 Lateral Face:
= [tex]\sf \frac{1}{2} (Base * Height)[/tex]
Base = 6 inches
Height = 11 inches
= 1/2 (6*11)
= 3 * 11
= 33 in.²
Surface Area of 4 lateral faces:
= 33 * 4
= 132 in.²
Surface Area of the whole pyramid:
= 132 + 36
= 168 in.²
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer:
SA = 168 in.²
Step-by-step explanation:
The surface area is the sum of the area of the base and the areas of the 4 congruent triangular sides.
s = side of the base
h = height of each side
SA = s² + 4(sh/2)
SA = (6 in.)² + 4(6 in.)(11 in.)/2
SA = 36 in.² + 132 in.²
SA = 168 in.²
What is the average rate of change for f(x) = 2X – 12 over the interval 4sxs8?
A)
10
B)
30
60
D
90
Answer:
Step-by-step explanation:
I think its B, (30)
What is the percent decrease from 61 to 11?
If M= {m, a,t} how many subsets of M are there?
Answer:
8 {m},{a},{t},{m,a},{m,t},{a,t},{m,a,t},{}
what is the value of p+9 when p=16
Answer:
25 :)
Step-by-step explanation:
well, if it's p+9 and you know that p=16 then you plug 16 in for p so the equation will be 16+9 and then you solve from there which is 25
PLEASE I NEED HELP THIS NEEDS TO GET DONE SOON AND IM STUCK):
Question 2 Multiple Choice Worth 2 points) (06.03) For the expression y + 6 - 3, determine the coefficient for the variable term 1 06
Answer:
1
Step-by-step explanation:
whenever there is a varible alone the coefficient is 1
How many thirds are in 12?
If
[tex] \alpha \beta [/tex]
are the roots of 3x²+2x-1=0 then 1/
[tex] \alpha [/tex]
+1/
[tex] \beta [/tex]
is
Answer:
2
Step-by-step explanation:
Given the quadratic equation
3x²+2x-1=0
Let tthe root be α and β
Sum of root α+β = -b/a
Product of root αβ = c/a
Given that;
a = 3, b = 2 and c = -1
α+β = -2/3
αβ = -1/3
To get 1/α + 1/β
Find the LCM
1/α + 1/β
= (α+β)/αβ
= (-2/3)/(-1/3)
= -2/3 * 3/-1
= 2
Hence the required answer is 2
A suitcase is discounted 40 % off the original price, p . Which expression represents the price of the suitcase with the discount?
Answer:
Step-by-step explanation:
b
0.6p is the expression represents the price of the suitcase with the discount
How to calculate perecent discountHow can I figure out a discount of X%?You apply the fundamental formula given above in this situation.Take the original cost.The result is multiplied by the discount and divided by 100.Subtract the updated amount from the starting cost.Your total price is that. Enjoy your discounts!To learn more about discount, refer to https://brainly.com/question/1548141
#SPJ1
If f(x)=3x^2+x-2, then f(-2)=
Answer:
f(- 2) = 8
Step-by-step explanation:
To evaluate f(- 2) , substitute x = - 2 into f(x) , that is
f(- 2) = 3(- 2)² + (- 2) - 2 = 3(4) - 2 - 2 = 12 - 4 = 8
Round 1231.50432 to the nearest tenth
Answer:
1231.5
Step-by-step explanation:
I hope this help.
The height of a cuboid whose volume is 385 cu cm and base area is 35 sq cm is
Answer:
11cm
Step-by-step explanation:
Given data
Volume of cuboid =385 cm^3
Base area= 35cm^2
We know that
Volume = Area* Height
substitute and solve for Height
385=35*H
H= 385/35
H= 11cm
Hence, the height is 11cm
What's the slope of the line through (1,3) and (-2,-3)
Answer:
m = 2
The slope of the line through (1, 3) and (-2, -3) is 2!
The formula to find the slope is attached below.
Hope I was of help. Have a good new year!
When a button is pressed, a computer program outputs a random odd number greater than 1 and less than 9. You press the button 4 times. How many possible outcomes are there?
Answer:
Well if it is 1 to 9 and you press it 4 times you will have 9 possible outcomes
Step-by-step explanation:
The number of possible outcomes when the button is pressed 4 times is; 81 outcomes
Number of possible outcomesWhen the button is pressed first, the possible choices of random odd number are; 3, 5 and 7.This is because the sample space includes odd numbers between 1 and 9 excluding 1 and 9.
Since number of possible choices for one press is 3,then for four presses, we will have;
3⁴ = 81 possible outcomes
Read more on probability outcomes at; https://brainly.com/question/25376712
... Helppppp!! will mark brainiest
Answer: The answer is C
Step-by-step explanation:
C is the answer because the base is +2 and the coefficent is 1/2 which is rise over run so you go up one space and to the right two spaces.
A15,3), B12,1), and C-2, 4) are the coordinates of a triangle's vertices. If the triangle is reflected over the x-axis, what are
the coordinates of the image?
O A'(-5,3), B(-2,1), C(2,4)
A'(-5,3), B(-2,1). C(-2,4)
O A'(-5,-3), B(-2,-1), C(2,-4)
A(5.-3), B(2.-1). C(-2,-4)
PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((
The measure of an angle is 72 degrees what is the measure of its conplementary angle
Answer:
18
Step-by-step explanation:
what is the answer? help me
You are making a poster to support your friend for homecoming. Your original photo is 4 inches by 6 inches. You want the photo on the poster to be 2 feet by 3 feet. What is the scale factor of this dilation? show work pls :(
Answer:
6
Step-by-step explanation:
2 ft = 24in so 4 to 24 is times 6
3ft=36 in and 6 to 46 is times 6
Answer:
6/1
Step-by-step explanation:
2ft=24 inches
3ft=36 inches
poster/original photo
24in/4in=6/1
36in/6in=6/1
6/1
Can someone answer this please!!! I only have 5 mins and u will get Brainly too :)
Tell whether the angles are adjacent or vertical. Then find the value of x . 117° xº
Answer:
please give the picture
Step-by-step explanation:
I will then solve this
Find the equation of the line through (-5,4) which is parallel to the line y=-x+6.
Give your answer in the form y=mx+b
Answer:
[tex]y = -x -1[/tex]
Step-by-step explanation:
Given
Passed through (-5,4)
Parallel to: y=-x + 6
Required
Determine the line equation
If it is parallel to: y=-x + 6, then it means that they have the same slope.
A linear equation y = mx + b has the slope m.
So, by comparison of y = mx + b to y = -x + 6
[tex]m = -1[/tex]
The line equation is then calculated as:
[tex]y=m(x - x_1) + y_1[/tex]
Where
[tex]m = -1[/tex]
[tex](x_1,y_1) = (-5,4)[/tex]
So:
[tex]y = -1(x - (-5)) + 4[/tex]
[tex]y = -1(x +5) + 4[/tex]
[tex]y = -x -5 + 4[/tex]
[tex]y = -x -1[/tex]