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2 years ago

One type of insect is 0.0052 meter long. What is this length in scientific notation?

1 answer:

5 0

Ok so...

You want to move the decimal point to the right until the number is greater than 1 but less than 10.

The number will end up being 5.2

You moved the decimal point 3 times to the right.
So it will be 5.2 x 10^-3. It is negative because you moved it to the right. The exponent would be positive if you moved it to the left

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City A grows by 5% every year. In 2021, it has a population of 145,201. What will the population be in 2037?

Diano4ka-milaya [45]

Answer:

About 316,955 people

Step-by-step explanation:

The population of this city can be modeled with the formula $P=I\cdot(1.05^t)$ , where P represents the current population, I represents the initial population, and t represents the amount of time in years since the start of the model. Plugging in 145,201 for I and (2037-2021)=16 for t, we get:

$P=145201\cdot(1.05)^{16}\approx145201\cdot2.18\approx 316955$

4 0

2 years ago

Read 2 more answers

A trust fund worth $25,000 is invested in two different portfolios, this year, one portfolio is expected to earn 5.25% interest

OLEGan [10]

Answer:

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

Step-by-step explanation:

we know that

The simple interest formula is equal to

$I=P(rt)$

where

I is the Final Interest Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

Let

x ------> the amount of money that should be invested at the rate of 5.25%

25,000-x -----> the amount money that should be invested at the rate of 4%

in this problem we have

$t=1\ year\\ P_1=\$x\\P_2=\$(25,000-x)\\r_1=0.0525\\r_2=0.04\\I=\$1,150$

substitute in the formula above

$I=P_1(r_1t)+P_2(r_2t)$

$1,150=x(0.0525*1)+(25,000-x)(0.04*1)$

Solve for x

$1,150=0.0525x+1,000-0.04x$

$0.0525x-0.04x=1,150-1,000$

$0.0125x=150$

$x=\$12,000$

$|$25,000-x=\$13,000$

therefore

The amount of money that should be invested at the rate of 5.25% is $12,000 and the amount money that should be invested at the rate of 4% is $13,000

6 0

2 years ago

Read 2 more answers

What is 2logx−logy+2logz written as a single logarithm? log(xz)^2/y log2x/2yz logx^2y/z^2 logx^2/yz^2

Klio2033 [76]

Answer: $\log\dfrac{x^2z^2}{y}$

Step-by-step explanation:

Properties of logarithm:

$(i)\ \ n\log a = a^n\\\\ (ii)\ \ \log m +\log n =\log (mn)\\\\ (iii)\ \ \log m-\log n =\log\dfrac{m}{n}$

Consider,

$2\log x-\log y+2 \log z\\\\ =\log x^2-\log y+\log z^2\ \ \ \ \text{[By (i)]}\\\\= \log x^2+\log z^2-\log y\\\\=\log(x^2z^2)-\log y\ \ \ \ [\text{By } (ii) ]\\\\=\log(\dfrac{x^2z^2}{y}) \ \ \ \ [\text{By (iii)}]$

3 0

2 years ago

Need some help with math can someone please help me

Gre4nikov [31]

What do you need help with in math

6 0

2 years ago

Write the equation of a line that is perpendicular to the given line and that passes through the given point.

Firlakuza [10]

Answer:

y - 3 = (5/3)(x - 6)

Step-by-step explanation:

The usual first step is to determine the slope of the given line.

In this case the slope is -3/5.

A line perpendicular to this given line would have a slope of 5/3, which is the negative reciprocal of -3/5.

This new line goes thru (6, 3) and has a slope of 5/3. Thus, the equation of the line in point-slope form is

y - 3 = (5/3)(x - 6)

Double check that you have copied the problem down correctly. The slope of the line represented by -3x - 5y = 17 is neither 2 nor -2; it is -3/5, and so the slope of a line perpendicular to -3x - 5y = 17 is +5/3.

7 0

2 years ago