(x+40):12+78-88 exercitiul se face prin metoda mersului invers ajuor!

strojnjashka [21]

Answer: 2.2x * 10^3
You would have to move the decimal place 3 times for 2.2x to get 2,200x, thus you get 10^3.

Hope this helps!

5 0

3 years ago

How much must be added to each of the three numbers 1, 11, and 23 so that together they form a geometric progression?

Sliva [168]

Answer:

49

Step-by-step explanation:

Let x be unknown number which should be added to numbers 1, 11, 23 to get geometric progression. Then numbers 1 + x, 11 + x, 23 + x are first three terms of geometric progression.

Hence,

$b_1=1+x\\ \\b_2=11+x\\ \\b_3=23+x$

and

$b_2=b_1\cdot q\Rightarrow 11+x=(1+x)q\\ \\b_3=b_2\cdot q\Rightarrow 23+x=(11+x)q$

Express q:

$q=\dfrac{11+x}{1+x}=\dfrac{23+x}{11+x}$

Solve this equation. Cross multiply:

$(11+x)^2=(1+x)(23+x)\\ \\121+22x+x^2=23+x+23x+x^2\\ \\121+22x=23+24x\\ \\22x-24x=23-121\\ \\-2x=-98\\ \\2x=98\\ \\x=49$

5 0

3 years ago

A = (5)<br> b = (3)<br> Work out 4a + b

malfutka [58]

Step-by-step explanation:

IF A=5, B=3

4*5+3=20+3

=23

THE ANSWER IS 23

8 0

3 years ago

Allison bought some shirts for he clothing store for $15 each. She received $50 off her entire purchase and spent a total of $40

k0ka [10]

The $50 off was like a coupon after you brought all your merchandise to the counter, so we have to add it back in to determine the number of shirts.

$400+$50=$450 original price of shirts

Original price ÷ price per shirt= quantity purchased

$450 ÷ $15/shirt= 30 shirts purchased

Allison bought 30 shirts.

Hope this helps! :)

6 0

3 years ago

Need help with these 2 problems will give brainliest answer and worth 30 points!!

Elena L [17]

Question 1.
Step 1. Add the total cost of purchasing the luxury items:
$TotalCost=35.95+34.65+15.30+6.99+42.96=135.85$
You will spend $135.85 purchasing the luxury items.

Step 2. Add the total cost of purchasing the name brand items:
$TotalCost=19.95+15.98+9.40+4.99+29.75=80.07$
You will spend $80.07 purchasing the name brand items.

Step 3. Subtract the total cost of purchasing the name brand items from the total cost of purchasing the luxury items:
$135.85-80.07=55.78$

Answer to the original question:
We can conclude that you will spend $55.78 more by purchasing the luxury items.

Question 2:

Part 1. To find the how many months will take to pay the card debt, we are going to use the credit card equation: $N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
where
$N$ is the months to pay the card
$b$ is the balance
$p$ is the monthly payment
$r$ is the interest rate in decimal form

We know from our problem that the balance of the credit card is $1,367.90 and the monthly payment is $400.00, so $b=1367.90$ and $p=400$ . To find convert the interest rate to decimal form, we are going to divide the rate by 100%
$r= \frac{9.5}{100}=0.095$ .
Now that we have all we need, lets replace the values in our credit card equation:
$N=- \frac{1}{30}* \frac{ln(1+ \frac{b}{p}*(1+ \frac{r}{365})^{30})) }{ln(1+ \frac{r}{365}) }$
$N=- \frac{1}{30}* \frac{ln(1+ \frac{1367.90}{400}*(1+ \frac{0.095}{365})^{30})) }{ln(1+ \frac{0.095}{365}) }$
$N=3.4799$

It will take you 3.5 months according to our calculation, but since you pay $400 each month on the due date, we can conclude that it will take you 4 months to pay off the card.

Part 2. To calculate the total amount paid including the interest, we just need to multiply the monthly payment by the number of payments.
We know from our problem that the monthly payment is $400. We also know from our previous calculations that the number of payments is 4, so lets multiply both quantities:
$400*4=1600$

We can conclude that the total amount paid including interest is $1,600

5 0

3 years ago