1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stiks02 [169]
1 year ago
6

Answer the Venn diagram based question, I will make uh brainliest +50 points.​

Mathematics
1 answer:
Nesterboy [21]1 year ago
3 0

According to the diagram we have:

  • Total number of watches = 1000,
  • Imported watches = 600,
  • Imported damaged = 30,
  • Local not damaged = 320.

<h3>Solution</h3>

i) Set of watches which are local and not damaged is the region within the rectangle but outside of circles.

ii) The missing number is the number of the total of damaged watches. We obtain it as follows:

  • 1000 - 600 - 320 = 80, the number of damaged local watches,

Add 30 to this - the number of damaged imported watches:

  • 80 + 30 = 110, this is the missing number of total damaged watches.

iii) The number of watches with no damage:

  • Total - damaged =
  • 1000 - 110 =
  • 890

or

  • Imported not damaged  + local not damaged =
  • (600 - 30) + 320 =
  • 890

iv) If all damaged watches are imported then the second circle moves inside the first one.

The numbers become:

  • The first circle, imported watches = 600,
  • Inside circle, damaged watches = 110,
  • The total number on the rectangle = 1000,

The number outside of circles but inside the rectangle, which is the number of local watches:

  • Total - imported =
  • 1000 - 600 =
  • 400
You might be interested in
A triangle in the coordinate plane has the following vertices: P(-4,-3), 1(-2,-2), G(-2,-4). What are the new coordinates if the
Aloiza [94]

Answer:

P’(-1, 1), I’ (1, 2), G’(1,0)

Step-by-step explanation:

7 0
3 years ago
Clark and Lana take a 30-year home mortgage of $128,000 at 7.8%, compounded monthly. They make their regular monthly payments fo
svp [43]

Answer:

Step-by-step explanation:

From the given information:

The present value of the house = 128000

interest rate compounded monthly r = 7.8% = 0.078

number of months in a year n= 12

duration of time t = 30 years

To find their regular monthly payment, we have:

PV = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{r}{n})^{-nt}}{\dfrac{r}{n}}    \end {bmatrix}

128000 = P \begin {bmatrix}  \dfrac{1 - (1 + \dfrac{0.078}{12})^{- 12*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

128000 = 138.914 P

P = 128000/138.914

P = $921.433

∴ Their regular monthly payment P = $921.433

To find the unpaid balance when they begin paying the $1400.

when they begin the payment ,

t = 30 year - 5years

t= 25 years

PV= 921.433 \begin {bmatrix}  \dfrac{1 - (1 - \dfrac{0.078}{12})^{25*30}}{\dfrac{0.078}{12}}    \end {bmatrix}

PV = $121718.2714

C) In order to estimate how many payments of $1400  it will take to pay off the loan, we have:

121718.2714 =  \begin {bmatrix}  \dfrac{1300  (1 - \dfrac{12.078}{12}))^{-nt}}{\dfrac{0.078}{12}}    \end {bmatrix}

121718.2714 = 200000  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

\dfrac{121718.2714}{200000 } =  \begin {bmatrix}  (1 - \dfrac{12.078}{12}))^{-nt}   \end {bmatrix}

0.60859 =  \begin {bmatrix}  (1 - \dfrac{12}{12.078}))^{nt}   \end {bmatrix}

0.60859 = (0.006458)^{nt}

nt = \dfrac{0.60859}{0.006458}

nt = 94.238 payments is required to pay off the loan.

How much interest will they save by paying the loan using the number of payments from part (c)?

The total amount of interest payed on $921.433 = 921.433 × 30(12) years

= 331715.88

The total amount paid using 921.433 and 1300 = (921.433 × 60 )+( 1300 + 94.238)

= 177795.38

The amount of interest saved = 331715.88  - 177795.38

The amount of interest saved = $153920.5

6 0
3 years ago
Write the phrase as an expression.<br> a number t cubed<br> An expression is
tamaranim1 [39]

Answer:

t to the 2 power

Step-by-step explanation:

8 0
3 years ago
7gallons to 32quarts as a fraction in the simplest form
erastovalidia [21]
7 over 32 you cant simplify it 
7 0
3 years ago
Read 2 more answers
Which quadrilateral will always have 4-fold reflectional symmetry?
saul85 [17]

Answer:

trapezoid

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Other questions:
  • A chocolate cake recipe calls for 12 fluid ounces of milk. If your measuring cup is not marked in fluid ounces, how many cups of
    12·1 answer
  • A machine can reshape the body of a flattened can to a round shape. The machine can reshape 75 cans in 5 minutes. At what rate p
    15·1 answer
  • Johanna rode her bike 7 miles to a lake . She rode 3/4 of distance to the lake before lunch. How many miles did johanna ride bef
    11·2 answers
  • Find the product mentally.
    7·2 answers
  • Geometry pretty pleases
    11·2 answers
  • Ok I have a couple of questions please help on the one you know please!!
    15·1 answer
  • Lines AB and CD are straight lines. Find x and y. Give reasons to justify your solutions.
    7·1 answer
  • 18 is what percent of 32? Round to the nearest tenth.
    8·2 answers
  • PLEASE HELP ME ! ITS DUD SOON. ILL GIVE BRAINLIEST I BEG
    10·1 answer
  • (geometry) please help and explain the work thank you ​
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!