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2 years ago

The value of Adam's model railway is $550.

1 answer:

6 0

Answer:(c)

Step-by-step explanation:

Given

The initial value of Adam's model is $A_o=\$550$

the value increases exponentially with the rate of $r\%$

Time period $t=5\ years$

Final amount $A=\$736$

Exponential growth is given by

$\Rightarrow A=A_o(1+r)^t$

Putting values

$\Rightarrow 736=550(1+r)^5\\\\\Rightarrow (1+r)^5=1.338$

$\Rightarrow 1+r=1.05999\\\Rightarrow r=0.05999\ or\ 5.99\%\approx 6\%$

Option (c) is correct

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givi [52]

Answer:

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

Step-by-step explanation:

This question can be solved by a rule of three.

A recipe says that 1 and 3/4 cups of baking soda are needed to make one batch of a homemade cleaning product.

1 + 3/4 cups = 1 + 0.75 = 1.75 cups for one batch.

How many total cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product?

2 and 1/2 batches is 2 + 0.5 = 2.5 batches.

1.75 cups for one batch. How many cups for 2.5 batches? So

1 batch - 1.5 cups

2.5 batches - x cups

c = 2.5*1.5 = 3.75

3.75 cups of baking soda are needed to make 2 and 1/2 batches of the cleaning product

8 0

3 years ago

natulia [17]

The measure in radians for the central angle of the circle is; 0.9 radians.

<h3>What is the angle measure in radians of the central angle?</h3>

Since, the length of the arc is given as 7.2cm and it's radius is 8cm.

It follows that the angle measure of the central angle can be evaluated as follows;

7.2 = (A/6.28) × 2× 3.14 × 8

7.2 = 8A

A = 7.2/8

A = 0.9 radians.