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Alex777 [14]
3 years ago
5

Carlene is saving her money to buy a $500 desk. She deposits $400 into an account with an annual interest rate of 6% compounded

continuously. The equation 400e^0.06t=500
represents the situation, where t is the number of years the money needs to remain in the account. About how long must Carlene wait to have enough money to buy the desk? Use a calculator and round your answer to the nearest whole number.
Mathematics
2 answers:
balandron [24]3 years ago
8 0

Answer:

4 years

Step-by-step explanation:

this is correct on ed-genuity. hope this helps :)

Rzqust [24]3 years ago
3 0
We want to determine t from the equation
400e^(0.06t) = 500

Divide each side by 400.
e^(0.06t) = 1.25

Take natural log of each side.
0.06t = ln(1.25) = 0.2231
t = 3.719 yrs

Answer: 4 years (nearest whole number)
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Which expression is equal to (−4x2−1)(2x2+3)?
Leya [2.2K]

Answer:

The first one:

−8x4−14x2−3

Step-by-step explanation:

(-4•2-1)(2•2+3)

-4•2 = -8

-8 - 1 = -9

(-9)(2•2+3)

2•2 = 4

4+3 = 7

(-9)(7) = -63

Now we find the one that equals -63:

-8•4-14•2-3

(-8•4)-14•2-3

-32-14•2-3

-32-(14•2)-3

-32-28-3

(-32-28)-3

-60-3

-60-3 = -63

BAM! THE ANSWER!

7 0
3 years ago
Read 2 more answers
a bag holds 1200 marbles colored either blue, red, green, or pink. there are 2 more blue than green, 6 more green than red and 6
krek1111 [17]
B = 2 + g . . . (1)
g = 6 + r . . . (2)
r = 6 + p . . . (3)

Putting (3) into (2) gives:
g = 6 + 6 + p = 12 + p . . . (4)
Putting (4) into (1) gives:
b = 2 + 12 + p = 14 + p . . . (5)

b + g + r + p = 1200
2 + g + 6 + r + 6 + p + p = 1200
2 + 12 + p + 6 + 6 + p + 6 + p + p = 1200
32 + 4p = 1200
4p = 1200 - 32 = 1168
p = 292

From (5), b = 14 + p = 14 + 292 = 306

Therefore, there are 306 blue mables.
8 0
3 years ago
A bike rental shop rents out bicycles with a flat rate of $6 and then charges $2 per hour a person rents out the bike. Identify
DIA [1.3K]

Answer:

Independent Variable: Number of hours

Dependent Variable: Cost

Equation: C = 2x + 6

Step-by-step explanation:

    The independent variable (x) is the variable that is manipulated. In this instance, that would be the number of hours a person rents out the bike.

    The dependent variable (C) is the variable that is manipulated depending on the value of the independent variable. In this instance, that would be the total cost for renting the bike.

    The total equation would be C = 2x + 6. The coefficient, 2, represents the charge of $2 per hour and the 6 represents the starting charge of $6.

6 0
3 years ago
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dolphi86 [110]

Answer:

Yes

Step-by-step explanation:

1/2 + 6/6

= (1*3)/(2*3) + 6/6

= 3/6 + 6/6

= 9/6

= 3/2

So the fraction 1/2 make the equation true.

7 0
2 years ago
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Olenka [21]

Answer:

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A gap in a dot plot is a certain range where no data exists for certain values, thus, creates values more or less than the data cluster, which can be defined by the word outlier

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