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3 years ago

The question is a screenshot

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

8 0

If I remember correctly I think its B. 15 mm

mel-nik [20]3 years ago

7 0

B, because 45/21 = 2.142857143... And 2.142857143... × 7 =15mm

So it's B

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F(1) = 4<br> f(x) = f(x-1) + 3<br> Find f(2)

tester [92]

f(2)= f(2-1)+3

f(2)=f(1)+3

4 0

2 years ago

A person invest $1200 in an account that earns 2% interest compound quarterly. Find when the value of the investment reaches $15

Basile [38]

Answer:

After 11 years the value of the investment reaches $1500.00

Step-by-step explanation:

The formula used for finding time (when the value reaches certain amount) is:

$A= P(1+\frac{r}{n})^{nt}$

where A= Future VAlue

P= Principal Value

r= rate of interest (in decimal)

n= no of times investment is compounded

t= time

Putting the values given and finding Time t,

A= $1500

P= $1200

r= 2% or 0.02

n= 4 (compound quarterly)

$A= P(1+\frac{r}{n})^{nt}$

$1500= 1200(1+\frac{0.02}{4})^{4t}$

Dividing both sides by 1200 and solving 0.02/4 = 0.005

$1.25= (1+0.005)^{4t}$

$1.25= (1.005)^{4t}$

Since t is in power we take the logarithm ln on both sides.

The rule of logarithm says that the exponent can be multiplied with the base when taking log

$\ln1.25=ln( 1.005)^{4t}\\\ln1.25=4t * ln( 1.005)\\0.22 = 4t * 0.005\\Solving\,\,\\\frac{0.22}{4*0.005} = t\\=> t= 11\, years$

8 0

3 years ago

Find the distance between the pair of points: (6,−3) and (1,0

rosijanka [135]

Hi there!

»»————-　★　————-««

I believe your answer is:

$\sqrt{34}$

»»————-　★　————-««

Here’s why:

⸻⸻⸻⸻

$\text{\underline{The distance formula is:}}\\\\d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

⸻⸻⸻⸻

$\boxed{\text{Calculating the answer....}}\\\\d = \sqrt{(1-6)^2+(0-(-3))^2}\\--------------\\\rightarrow d = \sqrt{(-5)^2+(3)^2}\\\\\rightarrow d = \sqrt{(25+9)}\\\\\rightarrow d =\boxed{ \sqrt{34} }$

⸻⸻⸻⸻

»»————-　★　————-««

Hope this helps you. I apologize if it’s incorrect.

6 0

3 years ago

What is the relationship between the ratios? 5/8 and 8/10 Drag and drop to complete the statement.

Lubov Fominskaja [6]

Answer:

NOT PROPORTIONAL

Step-by-step explanation:

The given two fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

Proportional fractions are those which have the same value when to reduced to the simplest form.

Consider two fractions $\frac{p}{q}$ and $\frac{x}{y}$ .

We say they are proportional if $p : q = x : y$ .

Or, if $py = qx$ then we can say the fractions are proportional.

Here the fractions are: $\frac{5}{8}$ and $\frac{8}{10}$ .

LHS: 5 X 10 = 50.

RHS: 8 X 8 = 64.

Clearly they are not equal. So, we can say these two fractions are not proportional.

6 0

3 years ago

What’s the average of 230, 155, 320, 400, and 325

balu736 [363]

Answer:

286

Step-by-step explanation:

230+155+320+400+325=1430

1430/5=286

7 0

3 years ago