Ask question

Ask question

All categories

3 years ago

13

7. In each case, write an equation that models the situation described. a) An antique is purchased for $5000 in 1990. It appreci

ates in value by 3.25% each year b) A town had 2500 residents
in 1990. It grew at a rate of 0.5% per year for years. single bacterium of a particular type takes one day to double. The population is P after days.

Help pleaseeeeee!!!!!!!

1 answer:

balandron [24]3 years ago

3 0

A) A= 5000 x .0325 ( 31)
A= 5,037.50

.0325 = 3.25%
31 years 2021-1990 = 31

You might be interested in

There are 61 centimetres of liquorice to be shared equally among 7 people. What length of liquorice will each person get?

Simora [160]

Answer:

8.71428571

do 61 divided by 7. Simple math.

8 0

3 years ago

Read 2 more answers

PLS HELP ASAP ILL GIVE BRAINLKEST THANKS

Julli [10]

Answer:

D. (6,3)

Step-by-step explanation:

To the find which point can be located on the line you will have to find the point-slope form

The formula for point-slope form is y=mx+b

m is slope

b is y-intercept

Since we already know the slope we can just replace it:

y=1/2x+b

Now we need to find the y-intercept

We can do this by distributing them with (4,2)

As you remember in point the digits are in x and y

(x,y) so we can tell that 4 is x and 2 is y

Now we can substitute x with 4 and y with 2

2=1/2(4)+b

Multiply 1/2 and 4

which is 2

2=2+b

Thus b=0

So the slope intercept form is y=1/2x

Now we can substitute the other points:

For (5,2):

2=5/2

Which is incorrect since 2 does not equal 5/2

For (2,3):

3=1/2(2)

Which is

3=1

Which is incorrect since 3 does not equal 1

For (3,4)

4=1/2(3)

Which is

4=3/2

Which is incorrect since 4 does not equal 3/2

For (6,3)

3=1/2(6)

Which is

3=3

Which is correct since 3 does equal to 3

Hope this helps!

8 0

2 years ago

Find the value of n .<br> 6/n = 24/28<br> y = ___.

il63 [147K]

Answer:

$n=7$

Step-by-step explanation:

Cross multiply, isolate the variable, and divide by the coefficient to solve.

$\frac{6}{n}=\frac{24}{28} \\ \\ 24n=168 \\ \\ n=7$

Plug back in to check.

$\frac{6}{7}=0.857142857 \\ \\ \frac{24}{28} =0.857142857$

5 0

3 years ago

Help. Solving Multi Step Ratio Problems!

Romashka-Z-Leto [24]

Answer:

Part 1) $30\ coupons$

Part 2) $12\ sandwiches$

Part 3) $60\ push-ups$

Part 4) $96\ minutes$

Part 5) $\$95$

Part 6) $1\frac{7}{8}\ cups\ of\ pretzel$

Step-by-step explanation:

Part 1) we know that

At the Green House of Salad , you get a $1 coupon for every 3 salads you buy

so

Using proportion

Find out the number of salads you could buy to get $10 in coupons

$\frac{1}{3}=\frac{10}{x} \\\\x=3(10)\\\\x=30\ coupons$

Part 2) we know that

Kim orders catering for $35

She spend $5 on a large order of potato salad and the rest on turkey sandwiches

Each sandwich is $2.50

How many sandwiches does Kim buy?

step 1

Find out how many Kim spent on turkey sandwiches

Subtract $5 from $35

35-5=$30

step 2

Using proportion, find out the number of sandwiches

so

$\frac{1}{2.50}=\frac{x}{30}\\\\x=30/2.50\\\\x= 12\ sandwiches$

Part 3) we know that

Molly does 10 push-ups at the same time as Liza does 15 push-ups

so

Using proportion

Find out how many push-ups Liza does when Molly does 40 push-ups

$\frac{10}{15}=\frac{40}{x}\\\\x=15(40)/10\\\\x=60\ push-ups$

Part 4) we know that

A shark swim at a speed of 25 miles per hour

The shark rest after 40 miles

How long in minutes, does the shark swim before resting?

Using proportion

Find out how long in minutes the shark swim 40 miles

Remember that

$1\ h=60\ min$

$\frac{25}{60}\ \frac{miles}{minutes}=\frac{40}{x}\ \frac{miles}{minutes}\\\\x=60(40)/25\\\\x=96\ minutes$

Part 5) we know that

For every bar of soap that Aly sells, she earns $5

For every mug that Janet sells, she earns twice as much as Aly

Aly sells 5 bars of soap and Janet sells 7 mugs

How much money did they make altogether?

step 1

Find out the amount earned by Aly

using proportion

$\frac{1}{5}=\frac{5}{x}\\\\x=5(5)\\\\x=\$25$

step 2

Find out the amount earned by Janet

Remember that

For every mug that Janet sells, she earns twice as much as Aly

so

For every mug that Janet sells, she earns 2($5)=$10

using proportion

$\frac{1}{10}=\frac{7}{x}\\\\x=10(7)\\\\x=\$70$

step 3

Adds the amount earned by Aly plus the amount earned by Janet

$25+70=\$95$

Part 6) we know that

Ted is making trail mix for a party

He mixes 1 1/2 cups of nuts, 1/4 cup of rising and 1/4 cup of pretzel

How many cups of pretzel does Ted need to make 15 cups of trail mix?

Adds the quantities

$1\frac{1}{2}+\frac{1}{4} +\frac{1}{4}=2\ cups\ of \ trail\ mix$

That means

For every 2 cups of trail mix we need 1/4 cup of pretzel

using proportion

Find out how many cups of pretzel does Ted need to make 15 cups of trail mix

$\frac{2}{(1/4)}=\frac{15}{x}\\\\x=15(1/4)/2\\\\x=\frac{15}{8}\ cups\ of\ pretzel$

Convert to mixed number

$\frac{15}{8}=\frac{8}{8}+\frac{7}{8}=1\frac{7}{8}\ cups\ of\ pretzel$

6 0

3 years ago

Use the remainder theorem to find the remainder of 2x^4 + x^2 - 10x -1 divided by x +2.

Svetllana [295]

Remainder Theorem says that if there is any Polynomial equation P(x), which is to be divided by (x - a) then remainder can be calculated by substituting value of a in equation P(x).

$2x^{4} +x^{2}-10x-1$ = P(x) divided by $(x+2)$

Step 1: Find a

To find a we will have to convert (x+2) into (x - a) form

i.e. (x+2) = (x - (-2))

therefore, a = -2

Step 2: Substitute value of a in P(x),

By substitution we get,

$2(-2)^{4}+(-2)^{2}-10(-2)-1$

= $2(16) + 4 +20 -1$

= $32 +4 + 20 - 1$

= $55$ = Remainder

Hence, Remainder is 55.

8 0

3 years ago