Answer:
She will need 105$
Step-by-step explanation:
Add 50+25=75 Then add 75+30=105
Amber invest $1,000 for 10 years compounded daily. Jin invests $1,000 for 10 years compounded continuously. If both investments are made at 8% interest rates, determine each of the following. Amber has a total of $ after 10 years. Jin has a total of $ after 10 years. So earns $ more interest.
Compound interest is the interest that is compounded daily, weekly, monthly, annually e.t.c on a loan, investment, or an amount of money kept in a financial institution.
Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
For Amber:The formula to find the amount compounded daily after 10 years is:
A = P(1 + r/n)nt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Daily = 365 days
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = P(1 + r/n)^nt
A = 1,000.00(1 + 0.08/365)^(365x10)
A = 1,000.00(1 + 0.000219178)^(3650)
A = $2,225.35
The interest for Amber is:
P (principal) = $1,000.00
A( Amount) = $2,225.35
I (interest) = P - A
= $$2,225.35 - $1,000.00
= $1,225.35
For JinThe formula to find the amount compounded continuously after 10 years is:
A = Pe^rt
Where
P = Principal ( Initial amount) = $1000
R = Interest rate = 8%
n = Number of times interest is compounded = Continuously
t = Time in years = 10 years
First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08 rate per year,
Then solve the equation for A
A = Pe^rt
A = 1,000.00(2.71828)^(0.08)(10)
A = $2,225.54
The interest for Jin is:
P (principal) = $1,000.00
A( Amount) = $2,225.54
I (interest) = P - A
= $$2,225.54 - $1,000.00
= $1,225.54
Comparing the interest for both Amber and Jin, we find the difference to know who earns more.
Jin's interest - Amber's interest
= $1,225.54 - $1,225.35
= $0.19
Jin earns more interest.
Therefore, Amber has a total of $2,225.35 after 10 years. Jin has a total of $ 2,225.54 after 10 years. So earns Jin $0.19 more interest.
To learn more, visit the link below:
https://brainly.com/question/2932702
Please help asappp. Best answer gets brainly
Answer:
The last two are the right ones
Step-by-step explanation:
1) Which expression has a base with an exponent of 4?
1. p + 4
2. 4 • I • y
3. 4z^3
4. 3m^4
Answer:
Number 4 has an exponent of 4.
Step-by-step explanation:
The ^ thingy is referring to an exponent. The number after that symbol is the exponent. Therefore, the last answer is the solution to this problem.
The expression which has a base with an exponent of 4 is [tex]3m^4[/tex]
Given two integers a and b, in indices form, we can write;
[tex]a^b[/tex] where:
a is the base
b is the exponent
From the given question, we are to find the expression has a base with an exponent of 4. From the given option;
In p + 4, 4 is not an exponent falsifying option AFor option 2, 4ly, 4 is not an exponent but a baseFor the expression, [tex]4z^3[/tex] 4 is the base, and 3 is the exponent falsifying option C.For the expression, [tex]3m^4[/tex] 3 is the base while 4 is an exponent. Hence the option D is correct.Hence the expression which has a base with an exponent of 4 is
[tex]3m^4[/tex]
Learn more here: https://brainly.com/question/17640470
A college student borrows $2000
for 3
months to pay for a semester of school. If the interest is $41.25
,
find the monthly payment.
Answer:
707.91 dollars.
Step-by-step explanation:
2000 divided by 3 = 666.66
666.66 + 41.25 = 707.91
Answer:
the correct answer is 680.42
Step-by-step explanation:
i had 6 cupcakes two days ago, and 9 yesterday. help me continue this pattern. thank you.
Answer:
its adding 3
Step-by-step explanation:
So if you had 6 cupcake two days ago, than yesterday there was 9, so tomorrow you should have 12 cupcake and so on
The requried pattern of cupcakes is given by adding 3 cupcakes each day and the pattern comes out as 6, 9, 12, 15, 18, 21, and so on for the subsequent day.
What is a sequence?The sequence is a pattern of placing the values in a specified manner.
Here,
Assuming that the pattern is to add 3 cupcakes each day, the continuation of the pattern would be:
Two days ago: 6 cupcakes
Yesterday: 9 cupcakes
Today: 12 cupcakes
Tomorrow: 15 cupcakes
Day after tomorrow: 18 cupcakes
In five days: 21 cupcakes
And so on, the pattern would continue adding 3 cupcakes for each subsequent day.
Learn more about the sequence here:
https://brainly.com/question/21961097
#SPJ2
The given quesiton is incomplete, the complete question s given below,
I had 6 cupcakes two days ago, and 9 yesterday. Assume it to be series. What will be the number of cupcakes that I will have two days from today??
Car A is traveling east at a steady speed of 60 miles per hour after 2 hours, it is 130 miles east of Johnstown. car B is traveling east on the same road. its distance east of Johnstown is represented by the graph.
Please help!
Answer: A
Step-by-step explanation:
Car B was 10 miles east of car A.
What is speed?The rate of change of position of an object in any direction is called speed.
What is the relation between speed, distance and time?[tex]speed = \frac{distance}{time}[/tex]
According to the given question
Speed of car A was 60 miles/hour.
⇒ After 2hours the distance covered by car A = 60 × 2 = 120 miles.
But it is given that car travelled total 130 miles.
So, the extra distance covered by the car = 130 - 120 = 10 miles.
From the graph we can say that the distance.
At, Time = 0
The distance travelled by car B is 20 miles.
Now, the extra distance covered by the car A w.r.t B = 20 - 10 = 10 miles
Since, both the cars were travelling in east direction.
Therefore, Car B was 10 miles east of car A.
Find out more information about speed distance and time here:
https://brainly.com/question/4978052
#SPJ2
help me pleaseeeeeeeeee!!
Please help with these two questions, 20 points
Answer:
1. Coefficient
2. Variable
A stalactite and stalagmite are growing toward each other in a cave. The following graph shows the relationship between the time (in years) since they appeared and the distance (in millimeters) between the stalactite and stalagmite. What feature of the graph represents the rate of change of the distance between the stalactite and stalagmite? slope, x-intercept, y-intercept, or none of the above
Answer:
Answer:
A slope is corect
Step-by-step explanation:
Answer:
Slope
Step-by-step explanation:
Khan told me :)
You earn $35 for washing 7 cars. You earn $45. How many cars did you wash?
Answer:
she washed 9 cars
Step-by-step explanation:
5×7 is 35
9×5 is 45
Answer:
You washed 9 cars
Step-by-step explanation:
35/7 is 5 and 45/5 is 9 therefore if you get $5 per car washed and you earn $45 you have washed 9 cars total
Only correct answers get brainliest.
Answer:
x=3+ln(6)ln(4)
Step-by-step explanation:
Need HELP! ASAP!! I’ll mark BRAINLIEST if you answer RIGHT!!
Answer:
The 1st and second is yes and the last one is no.
Step-by-step explanation:
to find the mid-point you add the two x and divide it by 2 same as y.
The number of necklaces Lilly can make varies directly with the amount of time she spends making necklaces. She can make 5 necklaces in 2/5 hour. How many necklaces can she make in 5 hours
Answer:
160 is your answer.
Step-by-step explanation:
I got it right on a test.
Convert 255 mL to L / Convertir 820 cm a m
Answer:
255 mL = .255 L
Step-by-step explanation:
820 cm = 8.2 m
state the domain of the relation ? ( there is more than one?) select all that apply
Answer:
I think it's {3, 6, 12, 18}
Step-by-step explanation:
Domain: all x-values that are to be used (independent values).
WILL MARK BRAINLIEST PLEASE HELP!!!!!!!!! Find the value of the expression: 2c2+3 for c=–11; 0; 15
Answer:
c = -11
expression value = 245
c = 0
expression value = 3
c = 15
expression value = 453
Step-by-step explanation:
Given expression = [tex]2c^2 + 3[/tex]
for c = -11 , we put c in place of c in given expression
[tex]2(-11)^2 + 3 = 2(121) + 3 = 242 + 3 = 245[/tex]
for c= 0
[tex]2(0)^2 + 3 = 2(0) + 3 = 0 + 3 = 3[/tex]
for c = 15
[tex]2(15)^2 + 3 = 2(225) + 3 = 450 + 3 = 453[/tex]
The measure of an angle is 35.4°. What is the measure of its supplementary angle?
Answer:
144.6°
Step-by-step explanation:
180-35.4
144.6°
Answer:
144.6
Step-by-step explanation:
Supplementary angles add to 180
Let x be the unknown angle
x + 35.4 = 180
Subtract 35.4 from each side
x = 180-35.4
x =144.6
From 1995 - 2008 in the US 648 people were struck by lightening. 531 of them were men. You want to see if this observation differs from the null hypothesis, that 50% of people who are hit by lightening would be men, based on the proportion of men in the population as a whole. Calculate the probability under the normal distribution of getting a result of 531 or more (including the continuity correction). Use the binomial test with a normal approximation. What is your conclusion?
Answer:
Because z is higher than any given value in the chart we come to the conclusion To reject null hypothesis
Step-by-step explanation:
Sample proportion = p= 531/648 = 0.8194
This is the proportion of men that were hit by lightening
Null hypothesis: H0: p = 0.5
Alternate hypothesis: H1: p ≠ 0.5
Test statistics z = 0.8194-0.5/(√0.5x0.5/648)
= 0.8194-0.5/√0.0003858
= 0.3194/0.019642
= 16.26
Since the z > 1.96 (at 5% significance) we reject the null hypothesis.
Therefore in conclusion we say z is higher than given values in the chart so we reject null hypothesis.
Please check attachment!
A weight of meteorite A is 7 times the weight of meteorite B. If the sum of their weights is 152 tons find the weight of each
Answer:
no lo se perdon
Step-by-step explanation:
Jody sprints 400 meters per minute. How fast does she run in meters per second? Round to the nearest hundredth. *
1 point
Your answer
Answer:
399
Step-by-step explanation:
Based only on the given information, it is guaranteed that AD
= DB
Answer:
true
Step-by-step explanation:
Congruent triangles are exact same triangles, but they might be placed at different positions. The statement is true.
What are congruent triangles?Suppose it is given that two triangles ΔABC ≅ ΔDEF
Then that means ΔABC and ΔDEF are congruent. Congruent triangles are exact same triangles, but they might be placed at different positions.
The order in which the congruency is written matters.
For ΔABC ≅ ΔDEF, we have all of their corresponding elements like angle and sides congruent.
Thus, we get:
[tex]\rm m\angle A = m\angle D \: or \: \: \angle A \cong \angle D \angle B = \angle E\\\\\rm m\angle B = m\angle E \: or \: \: \angle B \cong \angle E \\\\\rm m\angle C = m\angle F \: or \: \: \angle C \cong \angle F \\\\\rm |AB| = |DE| \: \: or \: \: AB \cong DE\\\\\rm |AC| = |DF| \: \: or \: \: AC \cong DF\\\\\rm |BC| = |EF| \: \: or \: \: BC \cong EF[/tex]
(|AB| denotes the length of line segment AB, and so on for others).
In the two triangles, ΔACD and ΔBCD,
DC is the common side
∠ADC = ∠BDC = 90°
∠ACD = ∠BCD (Given)
Thus, the two triangles are congruent and the sides AD≅DB.
Hence, the statement is true.
Learn more about Congruent Triangles:
https://brainly.com/question/16921692
#SPJ2
What is the solution to the equation x^3=64?
X=
Answer:
These are two imaginary solutions.
x = − 4 , 2 ± 2 √ 3 i
Step-by-step explanation:
Can someone help me with this geometry problem tysm
Will give brainliest
Answer:
ggvygvgg how old are u and are you a boy or girl please respond back
ccggvghvguvvhhv
vvhvhhbvgvgghh
Step-by-step explanation:
i got a prize for you
In a study of the television viewing habits of children, a developmental psychologist selects a random sample of 300 first graders - 100 boys and 200 girls. Each child is asked which of the following TV programs they like best: The Lone Ranger, Sesame Street, or the Simpsons.
Complete the following table:
Answer:
20, 50, 70, 110
Step-by-step explanation:
boys x simpsons: 20
girls x long ranger: 50
girls x simpsons: 70
total x sesame street: 110
have a great day :)
20 girls watch Long Ranger , 110 first graders watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.
What is random sampling?" Random sampling is a process of observing samples using such technique that each sample has equal probability."
According to the question,
As per the information of random samples given in the table,
Total number of boys are = 100
Total number of girls = 200
For boys
Long Ranger + Sesame Street + Simpsons = 100
⇒ 50 + 30 + Simpsons = 100
⇒ Number of boys view Simpsons = 100 - 80
= 20
In Long ranger column,
50 Boys + ___girls = 100
⇒ Number of girls watching Long Ranger = 100 -50
= 50
In Sesame street
30 boys + 80 girls = 110 Total viewers
Number of girls watching Simpsons = 90 -20
= 70
Hence, 20 girls watch Long Ranger , 110 total boys and girls watch Sesame Street , 20 boys watch Simpsons, and 70 girls watch Simpsons.
Learn more about random sampling here
https://brainly.com/question/12719656
#SPJ2
If a polynomial has four terms, 3x³ + 5x + 6x² + 10, which factoring method can be considered?
A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?
Answer:
3 8 person tables. 11 5 person tables.
Step-by-step explanation:
Determine if the ratio or rates are equivalent: 120 calories in 2 servings; 360 calories in 6 servings OMG PLS HELP ASAP I NEED HELP YOU GET 25 PIONTS
Answer:
No, they are not equivalent
Step-by-step explanation:
Because
120/2 Can not be divided equally into 360/6
Answer:
Yes
Step-by-step explanation:
They are equivalent because if you write the ratio's out, you get 120:2 and 360:6. If you then simplify both, you get 60:1. To simplify these, you need to find a common factor. In 120:2, you can tell that both numbers can be divided by two because they are both even. After dividing, you get 60:1. In 360:6, you can tell that both numbers can be divided by 6 since they both are multiples of 6. After dividing, you get 60:1. Because these to ratio's are equal, they are equivalent.
What is the difference between the longest jump and the shortest jump in the running long jump event?
What is the triangle congruence method that proves these triangles are congruent?
Answer:
SAS
Step-by-step explanation:
We know the bisector AB is congruent for both triangles, we know that angle ABD and ABC are both 90, and we know sgements BD and BC are congruent since it says the side length
Given the functions:
f(x) = x2 - 9, and g(x) = x3 + 4x² + 8x – 7, find h(x) = f(x) + g(x).
h(x) = - x3 +5x2 + 8x - 16
h(x) = x3 + 3x² + 8x + 2
h(x) = x3 + 5x² + 8x – 16
h(x) = -x3 - 3x2 – 8x - 2
h(x) = -x3 + 3x2+8x+2
Answer: h(x)=x³+5x²+8x-16
Step-by-step explanation:
In this problem, we are given f(x) and g(x). The problem asks to find h(x)=f(x)+g(x). Since we are given f(x) and g(x), we can directly add them together.
h(x)=x²-9+x³+4x²+8x-7 [combine like terms]
h(x)=x³+5x²+8x-16
Now, we know that h(x)=x³+5x²+8x-16 after we have combined like terms.