PLEASE HELP FAST pleaaaaaaaaaaaaaaaaaaaaaaase

After taxes, Liza makes $2,185.76 each month. From that, she has to pay three bills. For the last month, one bill is for $73.49,

Taya2010 [7]

Answer:

the amount left to spend is $740.77

Step-by-step explanation:

The computation of the amount left to spend is as follows:

= Each month payment - last month payment bills

= $2,185.76 - $73.49 - $897.19 - $474.31

= $740.77

Hence, the amount left to spend is $740.77

We simply deduct three amount bills from the each month payment

3 0

2 years ago

The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

$A=P(1+r)^x$

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

$1000=P(1+r)^0\implies P = 1000$

A = 1900 when x = 1,

$1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9$

Thus, the required function that represents the population after x days,

$A=1900(1+0.9)^x=1900(1.9)^x$

If x = 4,

The number of mosquito after 4 days,

$A=1900(1.9)^4 = 24760.99\approx 24761$

If A = 60,000,

$60000 = 1900(1.9)^x$

$\frac{600}{19}=1.9^x$

Taking log both sides,

$\log(\frac{600}{19})=x\log 1.9$

$\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4$

Thus, there will 60,000 mosquitoes after 5 days.

6 0

2 years ago

The lengths of the sides of a rectangle are consecutive prime numbers. The area of the rectangle is represented by a three-digit

PIT_PIT [208]

Answer:

Perimeter = 72

Step-by-step explanation:

<u>Mathematics Puzzle</u>

The area of a rectangle is the product of the base and the height

A=b.h

We know the base and the height are two consecutive prime numbers, not much of useful information so far.

We also know the area is composed only of the two smallest prime digits. Those digits are 2 and 3. If the number is reversed and it's not changed, then we only have two possible values for the area: 232 and 323.

We only need to find two consecutive prime numbers which product is one of the above. The number 232 has no prime factors: 232 = 8*29.

The number 323 is the product of 17 and 19, two consecutive prime numbers, thus the dimensions of the rectangle are 17 and 19.

The perimeter of that rectangle is 2*17+2*19= 72

8 0

2 years ago

Read 2 more answers

A. y:24=6:y<br><br> Can someone please help me

Nikolay [14]

Answer:

y = ± 12

Step-by-step explanation:

Given

y : 24 = 6 : y, or in fraction form

$\frac{y}{24}$ = $\frac{6}{y}$ ( cross- multiply )

y² = 144 ( take the square root of both sides )

y = ± $\sqrt{144}$ = ± 12

6 0

3 years ago

Lillian is going to invest in an account paying an interest rate of 5.7% compounded continuously. How much would Lillian need to

Tems11 [23]

Answer: $5156

Step-by-step explanation:

Given

The rate of interest is 5.7%

time t=7 years

Amount after 7 years, $A=\$7600$

for compound interest, the Amount is given by

$\Rightarrow A=P(1+\frac{r}{100})^T$

Put values

$\Rightarrow 7600=P(1+0.057)^7\\\\\Rightarrow P=\dfrac{7600}{(1.057)^7}=5,155.71\\\\\Rightarrow P\approx \$5156$

5 0

2 years ago