Pls pls pls pls pls pls pls pls pls help pls

PLEASE HELP WILL GIVE BRAINLIEST Which of the following scale factors will result in an enlargement? A. k < –1 B. –1 < k &

Sergio [31]

Answer: OPTION A.

Step-by-step explanation:

By definition, a dilation can be an enlargement or a reduction of the shape.

An enlargement is when dilation creates a larger image and a reduction is when dilation creates a smaller image.

When, the scale factor is greater than 1, the image is an enlargement and when the scale factor is between 0 and 1, the image is a reduction.

It is important to know that with a negative scale factor the enlargement will will be inverted and it will also be on the other side of the center of dilation.

Knowing this, we can say that the scale factor that will result in an enlargement is:

$k$

5 0

3 years ago

Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af

Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

$A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\$

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

$5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29$

In the 10 years, the refund she gets,

$A_r=63.29\times12\times100\\A_r=7594.8$

Interest paid by her is,

$I=7594.8-5500\\I=2094.8$

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0

2 years ago

On the first day of spring, an entire field of flowering trees blossoms. The population of locusts consuming these flowers rapid

Elza [17]

Answer:

$L(t)=7600e^{0.2273t}$

Step-by-step explanation:

-The locust population grows by a factor and can therefore be modeled by an exponential function of the form:

$P=P_oe^{rt}$

Where:

$P$ is the population after t days.
$P_o$ is the initial population given as 7600
$r$ is the rate of growth
$t$ is time in days

-Given that the growth is by a factor of 5( equivalent to 500%), the r value will be 5

-The population increases by a factor of 5 every 22 days. therefore at any time instance, t will be divided by 22 to get the effective time for calculations.

Hence, the exponential growth function will be expressed as:

$P=P_oe^{rt},\ \ \ P=L(t)\\\\\therefore L(t)=7600e^{5\frac{t}{22}}\\\\=7600e^{0.2273t}$

7 0

3 years ago

Write an inequality and solve

salantis [7]

Answer:

n, the integer;

8+6n< -42

7 0

3 years ago

Lin opened a savings account that pays 5.25% interest and deposited $5000. If she makes no deposits and no withdrawals for 3 yea

Alexxandr [17]

Answer:

$5829.57

Step-by-step explanation:

Annually compounding interest formula: $PV(1+i)^t$

5000(1+.0525)^3

5829.567266

which rounds to: 5829.57

7 0

3 years ago