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3 years ago

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Chris is standing on a cliff that is 3 feet above sea level. He dives into the water and descends to a depth 10 feet below the s

urface of the sea. On a number line, what is the distance between the two elevations?
a:7
b;8
c:13
d:14

1 answer:

grin007 [14]3 years ago

6 0

The answer is 7 I’m pretty sure

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2. Inflation is at a rate of 7% per year. Evan's favorite bread now costs $1.79. What did it cost 10 years ago? How long

Makovka662 [10]

Answer:

It cost $0.91 10 years ago.

It takes 10.24 years for the cost of bread to double.

Step-by-step explanation:

The equation for the price of bread after t years has the following format:

$P(t) = P(0)(1+r)^{t}$

In which P(0) is the current price, and r is the inflation rate, as a decimal.

If we want to find the price for example, 10 years ago, we find P(-10).

Inflation is at a rate of 7% per year. Evan's favorite bread now costs $1.79.

This means that $r = 0.07, P(0) = 1.79$ . So

$P(t) = P(0)(1+r)^{t}$

$P(t) = 1.79(1+0.07)^{t}$

$P(t) = 1.79(1.07)^{t}$

What did it cost 10 years ago?

$P(-10) = 1.79(1.07)^{-10} = 0.91$

It cost $0.91 10 years ago.

How long before the cost of the bread doubles?

This is t for which P(t) = 2P(0) = 2*1.79. So

$P(t) = 1.79(1.07)^{t}$

$2*1.79 = 1.79(1.07)^{t}$

$(1.07)^{t} = 2$

$\log{(1.07)^{t}} = \log{2}$

$t\log{1.07} = \log{2}$

$t = \frac{\log{2}}{\log{1.07}}$

$t = 10.24$

It takes 10.24 years for the cost of bread to double.

5 0

3 years ago

Anyone able to help?

harkovskaia [24]

Answer:

Technically he isn't, but he is off by only 0.5 cm.

Step-by-step explanation:

To check, we can use pythagorean theorem:

22.8^2 + 13.82^2 = about 22.6

However, Mr. Lim got it as around 26.1

5 0

2 years ago

Elizabeth bought 6 packages of cat food and 3 packages of dog food. Each package of cat food contained 9 cans, and each package

frutty [35]

She bought 42 more cans of cat food becuase 6 packages with 9 cans is 6 times 9 and that is 54 -42 to equal 12 because 3 times 4 which is how much dog food she buys

7 0

3 years ago

Read 2 more answers

If cos2θ + 3cosθ + 2 = 0, then cosθ = _____

PSYCHO15rus [73]

Hello,

cos θ =-1 or cos θ =-1/2

Indeed:
cos 2θ =2 cos² θ -1

cos 2θ +3 cos θ+2=0
==>2 cos² θ -1+3 cos θ+2=0
==>2 cos² θ +3 cos θ+1=0
Δ=3²-4*2=1
cos θ =(-3-1)/4=-1 or cos θ =(-3+1)/4=-1/2

We must verify:

if cos θ =-1 then 2*(-1)² -1 +3*(-1)+2=2-1-3+2=0

if cos θ =-1/2 then 2*(-1/2)² -1 +3*(-1/2)+2=2*1/4-1-3/2+2=1/2-3/2+1=0

5 0

4 years ago

Read 2 more answers

Which ordered pair represents a reflection of the point (-3, 5) across the y-axis?

Ket [755]

Answer:

(3, 5)

Step-by-step explanation:

Reflection across the y-axis is: $A(x,y)\rightarrow A'(-x,y)$

Applying the rule to (-3,5):

$(-3,5)\rightarrow(3,5)\\\text {Because: }\\-3 * -1 = 3\\5 * 1 = 5$

So, the reflected point should be (3,5).

6 0

3 years ago