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GuDViN [60]
3 years ago
15

Tim deposits money in a certificate of deposit account. The balance (in dollars) in his account t years after making

Mathematics
1 answer:
mariarad [96]3 years ago
8 0

Answer:

The minimum balance is $ 1,000

Step-by-step explanation:

According to the expression used to define the balance in Tim's account, at time t = 0:

T(0) = 1000(1.06)^{0}\\T(0) = 1000(1)\\T(0)=1000

Then, the initial balance in Tim's account is 1000 dollars. One year later, the balance in Tim's account will be:

T(1)=1000(1.06)^{1}\\T(1) = 1060

And each subsequent year, the balance will increase in a factor of 1.06. The minimum balance in Tim's account is 1000, and there is no possibility that the balance could be less than that amount of money.    

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A. x-4=0<br> b. x+4=0<br> c. y-4=0<br> d. y+4=0
Radda [10]
I thinks it’s c but cover your name so people don’t see it
5 0
3 years ago
How many terms are in the expression: <br> 6x + 5 + 10p<br> and what are they?
inna [77]

Answer:

Step-by-step explanation:

in this expression we have

two variables: 6x and 10p

one constant 5

3 terms

4 0
3 years ago
John runs to the market and comes back in 15 minutes. His speed on the way to the market is 5m/s and his speed on the way back i
katen-ka-za [31]

Answer:

The distance to the market is 2000 m

Step-by-step explanation:

∵ John runs to the market and comes back in 15 minutes

→ Change the min. to the sec. because the unit of his speed is m/s

∵ 1 minute = 60 seconds

∴ 15 minutes = 15 × 60 = 900 seconds

→ Assume that t1 is his time to the market and t2 is his time from

  the market

∵  t1 + t2 = 15 minutes

∴ t1 + t2 = 900 ⇒ (1)

→ Assume that the distance to the market is d

∵ His speed on the way to the market is 5m/s

∵ Time = Distance ÷ Speed

∴ t1 = d ÷ 5 ⇒ (1 ÷ 5 = 0.2)

∴ t1 = 0.2d ⇒ (2)

∵ His speed on the way back is 4m/s

∴ t2 = d ÷ 4 ⇒ (1 ÷ 4 = 0.25)

∴ t2 = 0.25d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 0.2d + 0.25d = 900

∴ 0.45d = 900

→ Divide both sides by 0.45

∴ d = 2000 m

∴ The distance to the market = 2000 m

8 0
3 years ago
Add. Write in simplest form.<br>-4/5 + (-3/8)
oee [108]
The answer to the question

8 0
3 years ago
Linear model function
sveticcg [70]

Using equations of linear model function, the number of hours Jeremy wants to skate is calculated as 3.

<h3>How to Write the Equation of a Linear Model Function?</h3>

The equation that can represent a linear model function is, y = mx + b, where m is the unit rate and b is the initial value.

Equation for Rink A:

Unit rate (m) = (35 - 19)/(5 - 1) = 16/4 = 4

Substitute (x, y) = (1, 19) and m = 4 into y = mx + b to find b:

19 = 4(1) + b

19 - 4 = b

b = 15

Substitute m = 4 and b = 15 into y = mx + b:

y = 4x + 15 [equation for Rink A]

Equation for Rink B:

Unit rate (m) = (39 - 15)/(5 - 1) = 24/4 = 6

Substitute (x, y) = (1, 15) and m = 6 into y = mx + b to find b:

15 = 6(1) + b

15 - 6 = b

b = 9

Substitute m = 6 and b = 9 into y = mx + b:

y = 6x + 9 [equation for Rink B]

To find how many hours (x) both would cost the same (y), make both equation equal to each other

4x + 15 = 6x + 9

4x - 6x = -15 + 9

-2x = -6

x = 3

The hours Jeremy wants to skate is 3.

Learn more about linear model function on:

brainly.com/question/15602982

#SPJ1

5 0
2 years ago
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