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2 years ago

Robert gets a loan from his bank.

Mathematics

1 answer:

GuDViN [60]2 years ago

8 0

He will of paid £420 as intrest

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The exponential function f(x) = 3(5)x grows by a factor of 25 between x = 1 and x = 3. What factor does it grow by between x = 5

Delvig [45]

Answer:

B) 25

Step-by-step explanation:

Given exponential function:

$f(x)=3(5)^x$

The growth factor between $x=1$ and $x=3$ is 25.

To find the growth factor between $x=5$ and $x=7$

Solution:

The growth factor of an exponential function in the interval $x=a$ and $x=b$ is given by :

$G=\frac{f(b)}{f(a)}$

We can check this by plugging in the given points.

The growth factor between $x=1$ and $x=3$ would be calculated as:

$G=\frac{f(3)}{f(1)}$

$f(3)=3(5)^3$

$f(1)=3(5)^1$

Plugging in values.

$G=\frac{3(5)^3}{3(5)^1}$

$G=\frac{(5)^3}{(5)^1}$ (On canceling the common terms)

$G=(5)^{(3-1)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Similarly the growth factor between $x=5$ and $x=7$ would be:

$G=\frac{f(7)}{f(5)}$

$f(7)=3(5)^7$

$f(5)=3(5)^5$

Plugging in values.

$G=\frac{3(5)^7}{3(5)^5}$

$G=\frac{(5)^7}{(5)^5}$ (On canceling the common terms)

$G=(5)^{(7-5)}$ (Using quotient property of exponents $\frac{a^b}{a^c}=a^{(b-c)}$ )

$G=(5)^{2}$

∴ $G=25$

Thus, the growth factor remains the same which is =25.

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Last week, Clay wrote 4 checks for $20 each from his checking account., withdrew another $30, and finally made a deposit of $96.

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(4x20)+30=$110 taken out. if he had $96 put back in, then go $110-$96, leaving a balance of -$14, or in other words, the balance dropped $14.

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2 years ago

1.) A. Graph A

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Answers:

1) To emphasize the slow increase in profits, it would be best for Bradley to use <u>Graph A</u> for his presentation.

2) Bradley should use this graph for his presentation becauase the profit <u>appears to increase less</u> on this graph.

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Some large hardware stores, such as Home Depot, boast of carrying as many as 20,000 different products in each store. This volum

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the choice of consumers regarding what to purchase to satisfy their wants and the choice of producers regarding what to produce to maximize profits.

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2 years ago

-38--25 +25-50 solve

adoni [48]

Answer:

Step-by-step explanation:

$-38-25+25-50$

Follow the PEDMAS order of operation

Add and subtract left (left to right )

$\mathrm{Apply\:rule\:}-\left(-a\right)\:=\:+a\\-\left(-25\right)=+25\\\\=-38+25+25-50\\=-13+25-50\\-13+25=12\\=12-50\\12-50=-38$

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3 years ago

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