Answers
Answer:
2) V = 2000·1.07^t; $6317.63 after 17 years
3) D = 950·0.82^t; 2 months to a balance of $650
Step-by-step explanation:
Exponential equations are not so difficult. They are generally of the form ...
f(t) = (initial value) × (growth factor)^t
where t is the number of time periods to which growth factor applies. (I problem 2, that is years; in problem 3, that is months.)
The growth factor can be written different ways. In terms of growth rate, it is ...
growth factor = 1 + growth rate
Often, the growth rate is expressed as a percentage. It may be positive or negative.
__
2) The initial value is $2000, and the growth rate is 7% = 0.07. So, the exponential equation for value is ...
V = 2000·1.07^t
The value after 17 years is ...
V = 2000·1.07^17 = 6317.63
__
3) The initial value is $950, and the growth rate is -18% = -0.18. That means the growth factor is 1-0.18 = 0.82. So, the exponential equation for the remaining debt is ...
D = 950·0.82^t . . . . . where t is in months
We want to find the value of t when D=650, so we put that in the equation and solve for t. Logarithms are required.
650 = 950·0.82^t
650/950 = 0.82^t . . . . . . . . . . divide by 950
log(650/950) = t·log(0.82) . . . take logarithms
log(650/950)/log(0.82) = t ≈ 1.91
It will take about 2 months for the balance to be about $650.
Related Questions
Question on a picture
Answers
Answer:
x = 5
Step-by-step explanation:
Given
- 160 = - 4(7x + 5) ← divide both sides by - 4
40 = 7x + 5 ( subtract 5 from both sides )
35 = 7x ( divide both sides by 7 )
5 = x
A school bought 4 copies of a textbook this week. The school spent a total of $204 for the 4 copies. How much did each copy. Of the textbook cost?
Answers
Each copy of the textbook cost $51
Is -2–9 positive or negative
Answers
Answer:
Negitve
Step-by-step explanation:
-2 -9= -11
Keep going left in the number line
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷ I think it's negative because [tex]-2 - 9 = -11[/tex]
I'm not really sure, sorry!
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Which of the following equations could be used to solve the given equation?
9x + 26 + 7x - 17 = 2x + (-3x) + 5x
16x + 9 = 0
16x + 11 = 4x
16x + 9 = 4x
Answers
Answer:
16x+9=4x would be correct
The fish population in a local lake is 10,000. The population increase by half every year. Which function represents the fish population after x years?
1. f(x) = 1.5(10,000)^x
2. 10,000(-1.5)^x
3. None
4. f(x) = 10,000(0.5)^x
5. f(x) = 10,000 (1.5)^x
Answers
Answer:
5. f(x) = 10,000 (1.5)^x
Step-by-step explanation:
We would have to multiply the original amount by 1.50^x because the initial amount would be 1, and 50% increase would be .5 so 1.5 and you raise it to the number of years to show the total increase.
Let's test it.
Initial:
10,000
After 1 year
10,000 + (.5*10000)
10,000 + 5000 = 15,000
After 2 years
15,000 + (.5*15000)
15,000 + 7500 = 22,500
Let's try our equation.
f(x) = 10,000 (1.5)^x
x = 2
10,000(1.5)^2
10,000(2.25) = 22,500
The same!
whats 27+0?????????????/
Answers
Answer:
27!!!!
Step-by-step explanation:
Answer:
Your answer is: 27
Step-by-step explanation:
Hope this helped : )
Find the sum
-1,457+890+(-345)=
Answers
Answer:
-912
Step-by-step explanation:
Simplify: -1,457 + 890 - 345-1,457 + 890 = -567Plug -567 in: -567 - 345-567 - 345 = -912I hope this helps!
The inverse operation of Multiplication.
Answers
Answer:
The answer is division.
Step-by-step explanation:
Glad to help.
what is 1/2(8x+26)=13=4x
Answers
Answer:
no solution
Step-by-step explanation:
half of 8 is 4 and half of 26 is 13
4x+13=13=4x
really there is no solution because both x and the variable are 0
Answer: he's right there is no solution
Step-by-step explanation: the x is a variable as well as an inequality, it won't work like that
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 hour. What is the difference in her usage rates in quarts per hour?
Answers
Answer:
monday,12 quart paint=34hour
Tuesday,12quart paint=54 hour
54 hour_34hour=20 hour difference
Darren is playing a board game a move forward is a positive value A move backward is a negative value He wrote an inequality correctly comparing two of his moves achoose all inequalities that could be the inequality Darren Wrote -3 > -5 -4< -5 -4 > 3
Answers
Answer:
-3 > -5
Step-by-step explanation:
Since it was said that Darren "correctly" wrote an inequality comparing two of his moves, then we expect that any inequality he writes must be correct, mathematically. Looking at the three options:
1. -3 > -5
2. -4 < -5
3. -4 > 3
We see that mathematically, -4 is not less than -5, neither is -4 greater than 3. But certainly, -3 is greater than -5, therefore the correct option would be -3 > -5.
m
Evaluate 8 -
+ pº when m = 8, n = 2, p = 7.
Answers
Answer:
1
Step-by-step explanation:
8-(+7)
8-7
answer is equal to 1
⚠️ANSWER ASAP ⚠️⚠️ MARKING BRAINLIEST ⚠️
-
9. Use the equation to complete the table: y=x-1
** number cut off from image is 2
10. Fill in the blank image shown
Answers
Answer:
9) -3, -2, -1, 0, 1 10)slope is 1 and the y-intercept is (0,1)
Step-by-step explanation:
Mr. Jones traveled 15 miles north and then 8 miles west. How far was he from his starting point?
Answers
Answer:
its hard hm
Step-by-step explanation:
shaq invested $350 in a savings account that earns 5% interest, compounded annually. How much interest will he earn in 2 years
Answers
Answer:
$25.39
Step-by-step explanation:
So if he has a 5% investment, then that means that every year he will get back 5% of the amount he invested.
So all one has to do is to find out 5% of the amount invested
Since it is asking for the amount earned in two years, then one will have to add back 5% twice
so 5% of 350
5% can be written as 0.05
so then the problem is
0.05 * 350
= 7.5
add that to the total amount and repeat the process
350 + 7.5
= 357.5
5% of 357.5
0.05 * 357.5
=17.885
because this is money one has to round to the second decimal point
= approx. 17.89
so now find the total amount earned by adding the two values
7.5 + 17.89
= 25.39
Which side lengths form a right triangle?
Choose all answers that apply:
5, V8,33
8, 15, 17
© V2,V2,2
Answers
Answer:
8, 15, 17 and [tex]\sqrt{2} , \sqrt{2}, 2[/tex]
Step-by-step explanation:
[tex]c=\sqrt{a^2+b^2}[/tex]
[tex]33=/=\sqrt{5^2+\sqrt{8}^2 }[/tex]
[tex]17=\sqrt{8^2+15^2}[/tex]
[tex]2=\sqrt{\sqrt{2}^2+\sqrt{2}^2 }[/tex]
amaya is looking to buy tickets to the Jaguar's game. She plans to purchase each ticket, x for $25 and a one time convenience fee of $3.50. She plans to spend $78.50 total.
Answers
Answer:
.
Step-by-step explanation:
.
9 - 36 + 5c + 4a
Plzz help
Answers
Answer:
37
Step-by-step explanation:
What is the slope-intercept equation of the line below?
Answers
Answer:
We need more information, but the equation is y=(slope)x+(y-intercept). If you can find two points on the line, and the y-intercept, you've got your equation.
Step-by-step explanation:
To find the slope, you need two points. Then you take the y-value of the second point minus the y-value of the first point and divide that by the x-value of the second point minus the x-value of the first. If the y-intercept is not given, you need to plug in the equation, making x=0, and then solve for b, also known as the y-intercept. Hope this helps! Feel free to let me know if this is not clear.
Literal equations solve for y. 3x+4y=-4
Answers
Answer:
y = - 1 - 3/4x
Step-by-step explanation:
Step 1:
3x + 4y = - 4 Equation
Step 2:
4y = - 4 - 3x Subtract 3x on both sides
Step 3:
y = - 4 ÷ 4 - 3x ÷ 4 Divide by 4 on both sides
Answer:
y = - 1 - 3/4x
Hope This Helps :)
Answer:
y=-1
Step-by-step explanation: 3x+4y=-4 so in this you have to isolate the y so you move 3x to the right by subtracting 3x from both sides. Your equation will then turn into 4y=-4-3x. Then you divide both sides by 4. y=-1 ,-3/4x
2. greatest to least order these numbers
1
[pie symbol], 3.3 x 10 ,5%, 3/10,-0.33
Answers
Answer:
3.3*10, pi, 3/10, 5%, -0.33
Step-by-step explanation:
hope this helps
what is the HCF of 20, 45 and 15
Answers
Answer:
5
Step-by-step explanation:
Find the greatest common divisor:
gcd(20, 45, 15)
Find the divisors of each integer and select the largest element they have in common:
The divisors of 20 are:
1, 2, 4, 5, 10, 20
The divisors of 45 are:
1, 3, 5, 9, 15, 45
The divisors of 15 are:
1, 3, 5, 15
The largest number common to all divisor lists is 5:
divisors of 20: 1, 2, 4, 5, 10, 20
divisors of 45: 1, 3, 5, 9, 15, 45
divisors of 15: 1, 3, 5, 15
Answer: gcd(20, 45, 15) = 5
7. A box contains 16 cards bearing numbers 1, 2, 3, 4, .... 15, 16 respectively. A card is drawn
at random from the box. What is the probability that the
number on the card is:
(ii) a prime number?
(ii) a number divisible by 3?
(iv) a number not divisible by 4?
(i) an odd number?
Answers
Answer:
9/16
6/16
10/16
8/16
Step-by-step explanation:
Isaiah is starting his own gardening business. Isaiah has calculated that he needs to earn $640 per week to support his family. If he knows he will only be able to work 40 hours per week, what is the minimum amount of dollars per hour will he need to charge his customers?
Answers
I need help right now!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
If f(x) = −2x − 4 and g(x) = −2x + 2, which statement about the graphs of f and g is true?
A. g is a translation of f 6 units down.
B. g is a translation of f 2 units to the right.
C. g is a translation of f 2 units to the left.
D. g is a translation of f 6 units up.
Answers
Answer:
A
Step-by-step explanation:
Just graph it.
Suppose f(x) =x^2 and g (x) = 2x -3 what is the value of g (4)+f(-3)
A) 25
B) 7
C) -4
D)14
Answers
Answer:
d
Step-by-step explanation:
u just have to plug in the numbers
f(-3)= -3^2
f(-3)= 9
g(4)=2(4)-3
g(4)=5
9+5=14
I hope I'm right and hope I helped:)
Help me please!!!!!!!!!!!!!!!!!!!!!!!! Will give 5 star and brainliest
Trey purchased a 30-year Zero-Coupon bond. It has a value of $20,000.00 at maturity and is offered at 5.5% interest compounded semiannually. How much will he need to invest to buy this bond?
A. $4000.45
B. $3927.54
C. $3727.54
D. $4221.55
Answers
Answer:
B. $3927.54
Step-by-step explanation:
just took the test
plz help i posted this last time and got a bad answer
Answers
Answer:
42.25
Step-by-step explanation:
169/4=42.25
I got 4 because of the sides and the 169 from the total square feet. Hope this answer helps!
THINK! Sylvester is buying fishing supplies . He buys 8 beetle spins , but also purchased 2 KVD frogs For $6 each . The cashier thinks he is cute, so she gives him $2 off each beetle spin . He spent $48 total . How much did he spend on each beetle spin ?
Answers
Answer:
4.50
Step-by-step explanation:
2 KVD Frogs at 6 each is 12 dollars.
Total=48
48-12=36
36/8=4.50
The cashier giving him 2 dollars off is irrelevant.
What is equivalent to 4(x+2y)
Answers
Answer:
[tex]4x+8y[/tex]
Step-by-step explanation:
[tex]4(x+2y)[/tex]
To find an expression equivalent, we can simply distribute the [tex]4[/tex]:
[tex]4x+8y[/tex]