Help me on number problem 4 and 5 please

Mathematics

1 answer:

n200080 [17]2 years ago

7 0

Answer:

4 is decay and 5 is growth

4 has a decay rate of 8 %

5 has a growth rate of 20 %

Step-by-step explanation: The decay rate of 4 is 0.92 and for 5 it is 1.2 It is considered decay if the number with the exponent is less than one because it will decrease the value of y when x or in this case t increase. 5 has a rate of 1.2 and therefore it is growing

.92 *100 = 92

100 - 92 = 8

1.2*100 = 120 - 100 = 20

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Victoria buys two pair of sunglasses for $8 each. About how much did she pay for both pairs of glasses? Round to the nearest ten

kumpel [21]

Victoria buys 2 pairs of sunglasses for $8 each

1 pair of glasses = $8

8 x 2 = total amount

multiply

8 x 2 = 16

total amount = 16

She payed $16 for both pairs of glasses.

hope this helps

7 0

3 years ago

Read 2 more answers

Find the surface area of the following figure.

fgiga [73]

Answer:

$\boxed{\textsf{\pink{ Hence the TSA of the cuboid is $\sf 32x^2$}}}.$

Step-by-step explanation:

A 3D figure is given to us and we need to find the Total Surface area of the 3D figure . So ,

From the cuboid we can see that there are 5 squares in one row on the front face . And there are two rows. So the number of squares on the front face will be 5*2 = 10 .

We know the area of square as ,

$\qquad\boxed{\sf Area_{(square)}= side^2}$

Hence the area of 10 squares will be 10x² , where x is the side length of each square. Similarly there are 10 squares at the back . Hence their area will be 10x² .

Also there are in total 12 squares sideways 6 on each sides . So their surface area will be 12x² . Hence the total surface area in terms of side of square will be ,

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies\boxed{\sf TSA_{(cuboid)}= 32x^2}$

Now let's find out the TSA in terms of side . So here the lenght of the cuboid is equal to the sum of one of the sides of 5 squares .

$\sf\implies 5x = l \\\\\sf\implies x = \dfrac{l}{5} \\\\\qquad\qquad\underline\red{ \sf Similarly \ breadth }\\\\\sf\implies b = 3x \\\\\sf\implies x = \dfrac{ b}{3}$

$\rule{200}2$

Hence the TSA of cuboid in terms of lenght and breadth is :-

$\sf\implies TSA_{(cuboid)}= 10x^2+10x^2+12x^2\\\\\sf\implies TSA_{(cuboid)}= 20\bigg(\dfrac{l}{5}\bigg)^2+12\bigg(\dfrac{b}{3}\bigg) \\\\\sf\implies TSA_{(cuboid)}= 20\times\dfrac{l^2}{25}+12\times \dfrac{b^2}{9}\\\\\sf\implies \boxed{\red{\sf TSA_{(cuboid)}= \dfrac{4}{5}l^2 +\dfrac{4}{3}b^2 }}$