Step-by-step explanation:
The formula for compounded interest is given by
[tex]A = P\left(1 + \dfrac{r}{n}\right)^{nt}[/tex]
where
A = amount of money after a time t
P = principal or initial amount of money
r = interest rate in decimal form
n = number of times money bnb is compounded per unit time
t = unit time
a) For this problem, P = $6000, n = 1 since the money is compounded once a year, t = 1 year and r = 0.18 so after one year, Lisa's money amounts to
[tex]A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)= \$7,080[/tex]
b) After two years, the money is still compounded yearly so n = 1 but t = 2 years so Lisa's money amounts to
[tex]A = (\$6000)\left(1 + \dfrac{0.18}{1}\right)^{2} = \$8354.40[/tex]
Step-by-step explanation:
a)
Principal = $6000
Rate = 18%
Time = 1 year
A = P(1 + r/100)¹
A = 6000(1 + 18/100)
A = 6000(100 + 18/100)
A = 6000 × 118/100
A = 60 × 118
A = 7080
b)
Principal = $6000
Rate = 18%
Time = 2 years
A = P(1 + r/100)²
A = 6000(1 + 18/100)²
A = 6000(100 + 18/100)²
A = 6000(118/100)²
A = 6000 × 118/100 × 118/100
A = 6 × 118 × 118/10
A = 8354.4
Geometry Review Homework
The answer would be 10 I believe.
Answer the following.
7−5+2=−2−2(1−3)
Answer:
4=2
Step-by-step explanation:
Answer: 4≠2
Step-by-step explanation:
7-5+2=-2-2(1-3)
7-5+2=-2-2(-2)
7-5+2=-2+4
4≠2
Which of the equations below could be the equation of this parabola?
Vertex
(0, 0)
0
10
ОА
A. x = - 1 2 3 4
B. y = - 1/2 x ²
C. x = 1 / 4²
Do y = x
Answer:
the answer is "B"
the "a" (as in ax^2) is negative thus the parabola "goes downward"
Step-by-step explanation:
The equation of parabola is,
y = - 1/2x²
What is Parabola?A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line, which is known as the directrix.
We have to given that;
In a parabola,
Vertex = (0, 0)
Since, We know that;
Standard form of equation of parabola is,
y = a (x - h)² + k
Where, (h, k) = (0, 0) = vertex
Hence, We get;
y = a (x - 0)² + 0
y = ax²
Here, A point on parabola is, (2, - 2)
- 2 = a (2)²
a = - 2 / 4
a = - 1/2
Hence, The equation of parabola is,
y = - 1/2x²
Learn more about parabola visit:
https://brainly.com/question/29635857
#SPJ7
find the greatest common factor of 20 and 40
Answer:
20,10,5,4,2,1
Step-by-step explanation:
(25/13) * (-7) + 14 - 4 please help ASAP
Answer:
-4 is the correct answer to this problem
Answer:
-4
Step-by-step explanation:
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...hope it helped
If the points on a scatterplot are clustered in a pattern that extends from the upper left to the lower right, this would suggest that the two variables depicted are: ________
a. normally distributed.
b. positively correlated.
c. regressing toward the average.
d. negatively correlated.
Answer:
B
Explanation:
im doing this for points :D
HELP PLS!!! You invested $25,000 in two accounts paying 7% and 8% annual interest, respectively. If the total interest earned for the year was $1900, how much was invested at each rate?
g(x)=
Write a relationship for a function whose g(x) values are 2 more than five times the principal square root of x.
Lets do
2 more than five times the square root of x[tex]\\ \sf\longmapsto g(x)=5\sqrt{x}+2[/tex]
Lets take an example
[tex]\\ \sf\longmapsto g(4)=5\sqrt{4}+2[/tex]
[tex]\\ \sf\longmapsto 5(2)+2[/tex]
[tex]\\ \sf\longmapsto 10+2[/tex]
[tex]\\ \sf\longmapsto 12[/tex]
write the number 7.1 x 10⁻⁵ in standard form
Answer:
Step-by-step explanation:
10^-5 is .00001, If it was 10^5 it would be 100,000, but since it is negative, you will have to "flip" it around. 0.1 is 10^-1 10^-2 is .01, 10^-3 is .001 etc...
Now .00001 * 7.1 is just .000071
:) hope this helped.
Answer:
.000071
Step-by-step explanation:
7.1 x 10⁻⁵ = 00007.1 = .000071
100 points
Given the following functions:
f(x)=x2
g(x)=x−3
Find the composition of the two functions and show your process:
g(f(x))
Round 17.20947 to the nearest
hundredth.
What is -2/3 - (-1/2)
Answer: -1/6
Step-by-step explanation: Start by changing the minus a negative
to plus a positive, so we have -2/3 + 1/2.
Since our denominators of 3 and 2 have no factors in common,
our least common denominator is 3 · 2 or 6.
In order to get a denominator of 6 in each fraction,
we multiply top and bottom of the first fraction by 2
and top and bottom of the second fraction by 3.
That gives us -4/6 + 3/6 which simplifies to -1/6.
AnswerAnswer:
Step-by-step explanation:
-0.16666666666
a group of 30 people take it that your coffee is 12 people do not take tea and 15 people take coffee than the number of people who take Tea
Step-by-step explanation:
12 coffee
3 people
pls mark brainliest
15 answer
Determine the value of x
x = a√2
a = 8
x = 8√2 ← the end answer
2.
Match the graph of the function with the function rule.
A. [tex]y=\frac{1}{4}[/tex]·4^x
B. y = 1 • 4x
C. [tex]y=\frac{1}{2}[/tex]·4^x
D. y = 2 • 4x
Answer:
C) [tex]y = \frac{1}{2}[/tex] × [tex]4^x[/tex]
Answer:
C. y= 1/2*4^x
Step-by-step explanation:
Which of the following equations has exactly one solution?
2x + 3 – 6x=-4x – 3
3x + 12 – 9x = -11x + 12 + 5x
6x +9 - 8x = 2x + 9
7x + 3 – 8= 13x + 5 – 6x
Answer:
I belive I might be c not completely sure but pretty positive
There are 4 fewer markers than crayons . There are 6 markers . How many cranyons are there
In a class of twenty-seven students, twelve are boys. What part of the
class consists of boys?
What is the solution to the equation 3(y-2)=2y-8 A.-2/5 B.-14 C. -2 D. -2 4/5 I NEED-HELP PLeAse
3(y - 2) = 2y - 8
3y - 6 = 2y - 8
3y - 2y = -8 + 6
y = -2
Answer: C
the money spent to buy goods is called
Answer:
l think it's consumer spending
If $875 is put in the bank and each year the account carns 9% simple interest, then how much interest will be earned in
four years?
Answer:
$315. 9% of 875 is 78.75. 9% x 4 years = 36%. 36% of 875= 315. (bonus: 875 + 315 = 1,190.)
Step-by-step explanation:
hope this helps
Can someone provide the steps on solving this?
9514 1404 393
Answer:
857.4 ohms
Step-by-step explanation:
The new frequency is 50.2/61.4 times the old frequency. Since the reactance varies inversely with frequency, the new reactance will be 61.4/50.2 times the old reactance:
reactance at lower frequency = (701 ohms)×61.4/50.2 ≈ 857.4 ohms
Determine the domain of the following function:
Step-by-step explanation:
2x-18 ≥ 0
2x ≥ 18
x ≥ 9
and
3x -27 ≠ 0
3x ≠ 27
x ≠ 9
so, the answer is <9 ; +oo >
Answer and explanation please?
Answer:
c= 13
Step-by-step explanation:
The complementary angles add up to 90° so we use some basic algebra to solve this question. like in the step by step explaination I have provided on paper
A restaurant owner collected data about the types of items customers ordered. The table shows the probability that a customer will order each type of item when they visit the restaurant. Move words to the table to describe the likelihood of a customer ordering each item. Soft Drink Dally Special Dessert Appetizer 0.80 0.25 0.48 0.06 Probability that a customer will order Likelihood that a customer will order Certain Impossible Likely Unlikely Neither-likely nor unlikely
Using probability concepts, it is found that the matchings are:
Soft Drink - Likely.Dally Special - Unlikely.Dessert - Neither likely nor unlikely. Appetizer - very unlikely.------------------------
Probabilities assume decimal values between 0 and 1.The closer the probability is to 1, the more likely the event is to happen.------------------------
0.8 probability of a customers ordering a Soft Drink, which is a close value to 1, so Soft Drink - Likely.0.25 probability of a customer ordering a Dally Special, which is considerably less than 0.5, thus Dally Special - Unlikely.0.48 probability of a customer ordering a Dessert, which is around 0.5, thus Dessert - Neither likely nor unlikely.0.06 probability of a customer ordering an Appetizer, which is quite close to 0, so Appetizer - very unlikely.A similar problem is given at https://brainly.com/question/21408404
What is the radius of the circle? Example how you know..
Answer:
r=7
Step-by-step explanation:
C is at x=1 at circle side is at 8
8-1= 7
so, r=7
Answer:
The radius of the circle is 7 units.
Step-by-step explanation:
Radius is the measure from the center point of a circle to a point on the outside edge. Since you have coordinates, you can find the radius using distance formula.
You could also just count how many units are between the center and the edge to get 7 units because 8 - 1 = 7
235Px=235P(x-1)*(3x)
Answer:
2456
Step-by-step explanation:
What is the value of p?
A.60°
B. 40°
C. 90°
D. 50°
Answer:
D . p = 50
Step-by-step explanation:
To find the value of p we first need to find the values of inner angles
180 - 140 (linear pair)
= 40
180 -90 (linear pair)
= 90
now use angle sum property of triangle
40 + 90 + p = 180
130 + p = 180
p = 180 - 130
p = 50
What is the volume?
10 ft
8 ft
Answer:
8×10=18 ft is answer I think
A triangle has side lengths of (7n-2p)(7n−2p) centimeters, (2n+4q)(2n+4q) centimeters, and (q-5p)(q−5p) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p) OR
53n² +29p² +17q² -14np +8nq -10pq
Step-by-step explanation:
The perimeter is found by adding all the side lengths.
P = (7n-2p)(7n−2p) + (2n+4q)(2n+4q) + (q-5p)(q−5p)
We know that (a+b)(a+b) = (a+b)², and (a-b)(a-b) = (a-b)²
P = (7n-2p)² + (2n+4q)² + (q-5p)²
We know that (a+b)² = a²+b²+2ab, and (a-b)² = a²+b²-2ab
P = 49n² + 4p² - 14np +4n² +16q² + 8nq +q²+25p² -10pq
Combine like terms
P = 53n² +29p² +17q² -14np +8nq -10pq