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1 year ago

how much would 500 invested at 4% interest compounded continuously be worth after 7 years? round your answer to the nearest cent

Mathematics

1 answer:

vladimir1956 [14]1 year ago

4 0

Answer: the answer is 661.55

Step-by-step explanation:

interest formula: F = Pe^(rt)

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Daniella is solving 8/9 divided by 4. find her mistake and correct it.

Korolek [52]

Answer:

the answer is 2/9.

Step-by-step explanation:

8/9÷4

= 8/9 × 1/4

= 8/36

=2/9

6 0

2 years ago

The table represents a logarithmic function f(x). Use the description and table to graph the function, and determine the domain

dusya [7]

The domain of the function is x > 0 and the range of the function is -∞ < f(x) < ∞

<h3>How to determine the domain?</h3>

This is the set of input values on the table.

All input values (i.e. the x values) on the table are greater than 0 i.e. x > 0

Using the inequality notation, the domain of the table is x > 0

<h3>How to determine the range?</h3>

From the table, the logarithmic function outputs all zero, positive and negative numbers.

This means that the range is the set of all real numbers i.e. -∞ to ∞

Using the inequality notation, the range of the table is -∞ < f(x) < ∞

Read more about domain and range at:

brainly.com/question/11787743

#SPJ1

4 0

2 years ago

A ball is thrown into the air. The height in feet of the ball can be modeled by the equation h = -16t2 + 20t + 6 where t is the

makkiz [27]

$f(t)=h=-16t^2+20t+6

$

a=-16, b=20, c =6

Δ= $b^2-4ac=20^2-4*(-16)*6=400+384=784$

$\sqrt{Δ}=\sqrt{784}=28$

max:

$p=-\frac{b}{2a}=-\frac{20}{-32}=\frac{20}{32}=\frac{5}{8}$

max heigh: $h=-16(\frac{5}{8})^2+20*\frac{5}{8}+6=-16\frac{25}{64}+\frac{100}{8}+6$

$h=-\frac{25}{4}+\frac{50}{4}+6=\frac{-25+50+24}{4}=\frac{49}{4}$

$h=\frac{49}{4}$ at $t=\frac{5}{8}s$

will fall down at t:

$t=\frac{-20-28}{-32}=\frac{-48}{-32}=\frac{3}{2}=1.5$

$t=1.5s$

8 0

2 years ago

If f(x)=1/x+2/x, then f(1/3)=

Kaylis [27]

Answer:

f(1/3) = 9

Step-by-step explanation:

f(x)=1/x+2/x

Combine terms

f(x) = 3/x

f(1/3) = 3 / (1/3)

f(1/3) = 9

7 0

3 years ago

Every round in a competition costs 30 diamonds and you get 10 shards. How many diamonds will it cost you to reach 1,024 shards?

Firdavs [7]

Answer:

3,090 diamonds

Step-by-step explanation:

To get 10 shards, you need to spend 30 diamonds.

First thing we need to find, how many rounds you need to play to get 1,024 shards if in each round you win 10 shards?

1,024/10 = 102,4

But you can not play 102.4 rounds, you only can play whole numbers, so we need to round it to the next whole number (not the previous one, because in that case, we would get less than 1,024 shards)

Then you need to play 103 rounds.

And each round costs 30 diamonds, then the total number of diamonds that you need is:

103*30 diamonds = 3,090 diamonds

3 0

2 years ago